%% Roland W. Freund % % converted from refer format by refer-to-bibtex 0.7.1 % @inproceedings{Freund82, author = {J. Stoer and R. W. Freund}, editor = {R. Glowinski and J. L. Lions}, title = {On the Solution of Large Indefinite Systems of Linear Equations by Conjugate Gradient Algorithms}, booktitle = {Proceedings of the Fifth International Conference on Computing Methods in Applied Sciences and Engineering}, pages = {35--53}, publisher = {North-Holland}, year = {1982} } @techreport{Freund83, author = {R. W. Freund}, title = {{\"U}ber einige cg-{\"a}hnliche {V}erfahren zur {L}{\"o}sung linearer {G}leichungssysteme}, type = {Doctoral {T}hesis}, institution = {Universit{\"a}t W{\"u}rzburg, Germany}, year = {1983} } @article{Freund86, author = {R. W. Freund and S. Ruscheweyh}, title = {On a Class of {C}hebyshev Approximation Problems which Arise in Connection with a Conjugate Gradient Type Method}, journal = {Numerische Mathematik}, volume = {48}, pages = {525--542}, year = {1986} } @article{Freund87, author = {R. W. Freund}, title = {A Note on Two Block-{SOR} Methods for Sparse Least Squares Problems}, journal = {Linear Algebra and Its Applications}, volume = {88/89}, pages = {211--221}, year = {1987} } @article{Freund88, author = {R. W. Freund}, title = {On Some Approximation Problems for Complex Polynomials}, journal = {Constructive Approximation}, volume = {4}, pages = {111--121}, year = {1988} } @article{Freund88a, author = {R. W. Freund and T. Huckle}, title = {An Extension Problem for ${H}$-Unitary Matrices with Applications to {H}ermitian {T}oeplitz Matrices}, journal = {Linear Algebra and Its Applications}, volume = {108}, pages = {213--230}, year = {1988} } @inproceedings{Freund88b, author = {R. W. Freund and T. Huckle}, title = {On {H}ermitian Block {T}oeplitz Matrices and Generalizations of a Theorem of {C}. Caratheodory}, booktitle = {Proceedings of the Bavarian Academy of Sciences}, pages = {41--61}, year = {1988} } @article{Freund89, author = {R. W. Freund}, title = {On Polynomial Approximations to $f_a(z)=(z-a)^{-1}$ with Complex $a$ and Some Applications to Certain Non-{H}ermitian Matrices}, journal = {Approximation Theory and Its Applications}, volume = {5}, pages = {15--31}, year = {1989} } @article{Freund89a, author = {R. W. Freund and T. Huckle}, title = {Extension Problems for ${H}$-Unitary Matrices and {H}ermitian Block {T}oeplitz Matrices}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}, volume = {69}, pages = {T210--T212}, year = {1989} } @article{Freund89b, author = {R. W. Freund and T. Huckle}, title = {On ${H}$-Contractions and the Extension Problem for {H}ermitian Block {T}oeplitz Matrices}, journal = {Linear and Multilinear Algebra}, volume = {25}, pages = {27--37}, year = {1989} } @techreport{Freund89c, author = {R. W. Freund}, title = {On Polynomial Preconditioning for Indefinite {H}ermitian Matrices}, type = {Technical {R}eport 89.32}, institution = {RIACS, NASA Ames Research Center, Moffett Field, California}, year = {1989} } @techreport{Freund89d, author = {R. W. Freund}, title = {Pseudo-{R}itz Values for Indefinite {H}ermitian Matrices}, type = {Technical {R}eport 89.33}, institution = {RIACS, NASA Ames Research Center, Moffett Field, California}, year = {1989} } @incollection{Fischer89, author = {B. Fischer and R. W. Freund}, editor = {C. K. Chui and L. L. Schumaker and D. J. Ward}, title = {Optimal {C}hebyshev Polynomials on Ellipses in the Complex Plane}, booktitle = {Approximation Theory VI}, pages = {251--254}, publisher = {Academic Press}, year = {1989} } @incollection{Freund89e, author = {R. W. Freund}, editor = {C. K. Chui and L. L. Schumaker and D. J. Ward}, title = {Explicitly Solvable Complex Approximation Problems Related to Sine Polynomials}, booktitle = {Approximation Theory VI}, pages = {263--266}, publisher = {Academic Press}, year = {1989} } @article{Freund90, author = {R. W. Freund}, title = {On Conjugate Gradient Type Methods and Polynomial Preconditioners for a Class of Complex Non-{H}ermitian Matrices}, journal = {Numerische Mathematik}, volume = {57}, pages = {285--312}, year = {1990} } @article{Fischer90, author = {B. Fischer and R. W. Freund}, title = {On the Constrained {C}hebyshev Approximation Problem on Ellipses}, journal = {Journal of Approximation Theory}, volume = {62}, pages = {297--315}, year = {1990} } @article{Deuflhard90, author = {P. Deuflhard and R. W. Freund and A. Walter}, title = {Fast Secant Methods for the Iterative Solution of Large Nonsymmetric Linear Systems}, journal = {Impact of Computing in Science and Engineering}, volume = {2}, pages = {244--276}, year = {1990} } @inproceedings{Freund90a, author = {R. W. Freund}, editor = {S. Ruscheweyh and E. B. Saff and L. C. Salinas and R. S. Varga}, title = {On {B}ernstein Type Inequalities and a Weighted {C}hebyshev Approximation Problem on Ellipses}, booktitle = {Computational Methods and Function Theory, Proceedings, Valparaiso 1989}, pages = {45--55}, publisher = {Springer-Verlag}, year = {1990} } @techreport{Freund90b, author = {R. W. Freund and M. H. Gutknecht and N. M. Nachtigal}, title = {An Implementation of the Look-Ahead {L}anczos Algorithm, Part {I}}, type = {Technical {R}eport 90.45}, institution = {RIACS, NASA Ames Research Center, Moffett Field, California}, year = {1990} } @techreport{Freund90c, author = {R. W. Freund and N. M. Nachtigal}, title = {An Implementation of the Look-Ahead {L}anczos Algorithm, Part {II}}, type = {Technical {R}eport 90.46}, institution = {RIACS, NASA Ames Research Center, Moffett Field, California}, year = {1990} } @article{Fischer91, author = {B. Fischer and R. W. Freund}, title = {New {B}ernstein Type Inequalities for Polynomials on Ellipses}, journal = {Complex Variables}, volume = {16}, pages = {289--305}, year = {1991} } @article{Fischer91a, author = {B. Fischer and R. W. Freund}, title = {{C}hebyshev Polynomials are not Always Optimal}, journal = {Journal of Approximation Theory}, volume = {65}, pages = {261--272}, year = {1991} } @article{Freund91, author = {R. W. Freund}, title = {On Polynomial Preconditioning and Asymptotic Convergence Factors for Indefinite {H}ermitian Matrices}, journal = {Linear Algebra and Its Applications}, volume = {154-156}, pages = {259--288}, year = {1991} } @techreport{Freund91a, author = {R. W. Freund}, title = {Krylov Subspace Methods for Complex Non-{H}ermitian Linear Systems}, type = {Habilitation {T}hesis}, institution = {Universit{\"a}t W{\"u}rzburg, Germany}, year = {1991} } @article{Freund91b, author = {R. W. Freund and N. M. Nachtigal}, title = {{QMR}: a Quasi-Minimal Residual Method for Non-{H}ermitian Linear Systems}, journal = {Numerische Mathematik}, volume = {60}, pages = {315--339}, year = {1991} } @inproceedings{Freund91c, author = {R. W. Freund and M. Hochbruck}, editor = {R. Vichnevetsky and J. J. H. Miller}, title = {A Biconjugate Gradient Type Algorithm on Massively Parallel Architectures}, booktitle = {IMACS '91, Proceedings of the 13th World Congress on Computational and Applied Mathematics}, pages = {720--721}, publisher = {Criterion Press}, address = {Dublin}, year = {1991} } @article{Freund92, author = {R. W. Freund}, title = {Conjugate Gradient-Type Methods for Linear Systems with Complex Symmetric Coefficient Matrices}, journal = {SIAM Journal on Scientific and Statistical Computing}, volume = {13}, pages = {425--448}, year = {1992} } @article{Freund92a, author = {R. W. Freund and G. H. Golub and N. M. Nachtigal}, title = {Iterative Solution of Linear Systems}, journal = {Acta Numerica}, volume = {1}, pages = {57--100}, year = {1992} } @incollection{Freund92b, author = {R. W. Freund}, editor = {D. Braess and L. L. Schumaker}, title = {Quasi-Kernel Polynomials and Convergence Results for Quasi-Minimal Residual Iterations}, booktitle = {Numerical Methods of Approximation Theory, Vol. 9}, pages = {77--95}, publisher = {Birkh{\"a}user}, year = {1992} } @inproceedings{Freund92c, author = {R. W. Freund and M. Hochbruck}, title = {On the Use of Two {QMR} Algorithms for Solving Singular Systems and Applications in Markov Chain Modeling}, booktitle = {Proceedings of the Second Copper Mountain Conference on Iterative Methods}, year = {1992} } @inproceedings{Freund92d, author = {R. W. Freund and T. Szeto}, title = {A Quasi-Minimal Residual Squared Algorithm for Non-{H}ermitian Linear Systems}, booktitle = {Proceedings of the Second Copper Mountain Conference on Iterative Methods}, year = {1992} } @incollection{Freund92e, author = {R. W. Freund and N. M. Nachtigal}, editor = {R. Beauwens and P. de Groen}, title = {{QMR}: a Quasi-Minimal Residual Method for Non-{H}ermitian Linear Systems}, booktitle = {Iterative Methods in Linear Algebra}, pages = {151--154}, publisher = {Elsevier Science Publishers}, year = {1992} } @inproceedings{Fischer92, author = {B. Fischer and R. W. Freund}, title = {On Adaptive Weighted Polynomial Preconditioning for {H}ermitian Positive Definite Matrices}, booktitle = {Proceedings of the Second Copper Mountain Conference on Iterative Methods}, year = {1992} } @article{Freund92f, author = {R. W. Freund}, title = {Quasi-Kernel Polynomials and Their Use in Non-{H}ermitian Matrix Iterations}, journal = {Journal of Computational and Applied Mathematics}, volume = {43}, pages = {135--158}, year = {1992} } @inproceedings{Freund92g, author = {R. W. Freund and M. Hochbruck}, editor = {C. Brezinski and U. Kulisch}, title = {A Biconjugate Gradient-Type Algorithm for the Iterative Solution of Non-{H}ermitian Linear Systems on Massively Parallel Architectures}, booktitle = {IMACS '91, Proceedings of the 13th World Congress on Computational and Applied Mathematics I---Algorithms and Theory}, pages = {169--178}, publisher = {Elsevier Science Publishers}, year = {1992} } @incollection{Freund92h, author = {R. W. Freund and T. Szeto}, editor = {R. Vichnevetsky and D. Knight and G. Richter}, title = {A Transpose-Free Quasi-Minimal Residual Squared Algorithm for Non-{H}ermitian Linear Systems}, booktitle = {Advances in Computer Methods for Partial Differential Equations -- VII}, pages = {258--264}, publisher = {IMACS}, year = {1992} } @article{Freund93, author = {R. W. Freund and M. H. Gutknecht and N. M. Nachtigal}, title = {An Implementation of the Look-Ahead {L}anczos Algorithm for Non-{H}ermitian Matrices}, journal = {SIAM Journal on Scientific Computing}, volume = {14}, pages = {137--158}, year = {1993} } @article{Freund93a, author = {R. W. Freund}, title = {A Transpose-Free Quasi-Minimal Residual Algorithm for Non-{H}ermitian Linear Systems}, journal = {SIAM Journal on Scientific Computing}, volume = {14}, pages = {470--482}, year = {1993} } @article{Freund93b, author = {R. W. Freund and T. Huckle}, title = {A Restricted Signature Normal Form for {H}ermitian Matrices, Quasi-Spectral Decompositions, and Applications}, journal = {Linear Algebra and Its Applications}, volume = {184}, pages = {165--186}, year = {1993} } @incollection{Freund93c, author = {R. W. Freund}, editor = {M. S. Moonen and G. H. Golub and B. L. R. de Moor}, title = {The Look-Ahead {L}anczos Process for Large Nonsymmetric Matrices and Related Algorithms}, booktitle = {Linear Algebra for Large Scale and Real-Time Applications}, pages = {137--163}, publisher = {Kluwer Academic Publishers}, year = {1993} } @incollection{Freund93d, author = {R. W. Freund and M. Hochbruck}, editor = {M. S. Moonen and G. H. Golub and B. L. R. de Moor}, title = {Gauss Quadratures Associated With the {A}rnoldi Process and the {L}anczos Algorithm}, booktitle = {Linear Algebra for Large Scale and Real-Time Applications}, pages = {377--380}, publisher = {Kluwer Academic Publishers}, year = {1993} } @incollection{Freund93e, author = {R. W. Freund and N. M. Nachtigal}, editor = {M. S. Moonen and G. H. Golub and B. L. R. de Moor}, title = {An Implementation of the {QMR} Method Based on Coupled Two-Term Recurrences}, booktitle = {Linear Algebra for Large Scale and Real-Time Applications}, pages = {381--384}, publisher = {Kluwer Academic Publishers}, year = {1993} } @article{Freund93f, author = {R. W. Freund and H. Zha}, title = {A Look-Ahead Algorithm for the Solution of General {H}ankel Systems}, journal = {Numerische Mathematik}, volume = {64}, pages = {295--321}, year = {1993} } @incollection{Freund93g, author = {R. W. Freund}, editor = {L. Reichel and A. Ruttan and R. S. Varga}, title = {Solution of Shifted Linear Systems by Quasi-Minimal Residual Iterations}, booktitle = {Numerical Linear Algebra}, pages = {101--121}, publisher = {W. de Gruyter}, year = {1993} } @incollection{Freund93h, author = {R. W. Freund and N. M. Nachtigal}, editor = {L. Reichel and A. Ruttan and R. S. Varga}, title = {Implementation Details of the Coupled {QMR} Algorithm}, booktitle = {Numerical Linear Algebra}, pages = {123--140}, publisher = {W. de Gruyter}, year = {1993} } @incollection{Freund93i, author = {R. W. Freund and G. H. Golub and N. M. Nachtigal}, editor = {M. Y. Hussaini and A. Kumar and M. D. Salas}, title = {Recent Advances in {L}anczos-Based Iterative Methods for Nonsymmetric Linear Systems}, booktitle = {Algorithmic Trends in Computational Fluid Dynamics}, pages = {137--162}, publisher = {Springer-Verlag}, year = {1993} } @article{Freund93j, author = {R. W. Freund and H. Zha}, title = {Formally Biorthogonal Polynomials and a Look-Ahead Levinson Algorithm for General {T}oeplitz Systems}, journal = {Linear Algebra and Its Applications}, volume = {188/189}, pages = {255--303}, year = {1993} } @incollection{Freund94, author = {R. W. Freund}, editor = {G. Golub and A. Greenbaum and M. Luskin}, title = {Transpose-Free Quasi-Minimal Residual Methods for Non-{H}ermitian Linear Systems}, booktitle = {Recent Advances in Iterative Methods, The IMA Volumes in Mathematics and its Applications, Vol. 60}, pages = {69--94}, publisher = {Springer-Verlag}, year = {1994} } @article{Freund94a, author = {R. W. Freund and N. M. Nachtigal}, title = {An Implementation of the {QMR} Method Based on Coupled Two-Term Recurrences}, journal = {SIAM Journal on Scientific Computing}, volume = {15}, pages = {313--337}, year = {1994} } @article{Fischer94, author = {B. Fischer and R. W. Freund}, title = {On Adaptive Weighted Polynomial Preconditioning for {H}ermitian Positive Definite Matrices}, journal = {SIAM Journal on Scientific Computing}, volume = {15}, pages = {408--426}, year = {1994} } @article{Freund94b, author = {R. W. Freund and F. Jarre}, title = {A Polynomial-Time Algorithm for Fractional Programs with Convex Constraints}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}, volume = {74}, pages = {T523--T525}, year = {1994} } @article{Freund94c, author = {R. W. Freund}, title = {A Look-Ahead {S}chur-Type Algorithm for Solving General {T}oeplitz Systems}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}, volume = {74}, pages = {T538--T541}, year = {1994} } @inproceedings{Coughran94, author = {Coughran, Jr., W. M. and R. W. Freund and R. K. Smith}, title = {Algorithms for Augmented Device Simulation Models Incorporating {IV} Continuation and Circuit Element Equations}, booktitle = {Workshop on Numerical Modeling of Processes and Devices for Integrated Circuits: NUPAD V Technical Digest}, pages = {127--128}, year = {1994} } @article{Freund94d, author = {R. W. Freund}, title = {A Look-Ahead {B}areiss Algorithm for General {T}oeplitz Matrices}, journal = {Numerische Mathematik}, volume = {68}, pages = {35--69}, year = {1994} } @inproceedings{Freund94e, author = {R. W. Freund and N. M. Nachtigal}, title = {A New {K}rylov-Subspace Method for Symmetric Indefinite Linear Systems}, editor = {W. F. Ames}, booktitle = {Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics}, publisher = {IMACS}, pages = {1253--1256}, year = {1994} } @inproceedings{Freund94f, author = {R. W. Freund and N. M. Nachtigal}, title = {{QMRPACK} and Applications}, editor = {W. F. Ames}, booktitle = {Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics}, publisher = {IMACS}, pages = {1257--1260}, year = {1994} } @inproceedings{Feldmann94a, author = {P. Feldmann and R. W. Freund}, title = {Efficient Linear Circuit Analysis by {P}ad\'e Approximation via the {L}anczos Process}, booktitle = {Proceedings of EURO-DAC '94 with EURO-VHDL '94, Grenoble, France}, publisher = {IEEE Computer Society Press}, pages = {170--175}, year = {1994} } @inproceedings{Freund94g, author = {R. W. Freund}, editor = {J. D. Brown and M. T. Chu and D. C. Ellison and R. J. Plemmons}, title = {The Look-Ahead {L}anczos Process for Nonsymmetric Matrices and its Applications}, booktitle = {Proceedings of the Cornelius {L}anczos International Centenary Conference}, publisher = {SIAM}, pages = {33--47}, year = {1994} } @inproceedings{Freund94h, author = {R. W. Freund}, editor = {J. D. Brown and M. T. Chu and D. C. Ellison and R. J. Plemmons}, title = {{L}anczos-Type Algorithms for Structured Non-{H}ermitian Eigenvalue Problems}, booktitle = {Proceedings of the Cornelius {L}anczos International Centenary Conference}, publisher = {SIAM}, pages = {243--245}, year = {1994} } @inproceedings{Freund94i, author = {R. W. Freund and B. Fischer}, editor = {J. D. Brown and M. T. Chu and D. C. Ellison and R. J. Plemmons}, title = {An Inner Product-Free Conjugate Gradient-Like Algorithm for {H}ermitian Positive Definite Systems}, booktitle = {Proceedings of the Cornelius {L}anczos International Centenary Conference}, publisher = {SIAM}, pages = {288--290}, year = {1994} } @inproceedings{Freund94j, author = {R. W. Freund and P. Feldmann}, title = {Efficient Small-Signal Circuit Analysis and Sensitivity Computations with the {PVL} Algorithm}, booktitle = {Technical Digest of the 1994 IEEE/ACM International Conference on Computer-Aided Design}, publisher = {IEEE Computer Society Press}, pages = {404--411}, year = {1994} } @incollection{Freund94k, author = {R. W. Freund}, editor = {F. T. Luk}, title = {A Look-Ahead {S}chur-Type Algorithm for Solving General {T}oeplitz Systems}, booktitle = {Advanced Signal Processing: Algorithms, Architectures, and Implementations V, Proc. SPIE, Vol. 2296}, publisher = {SPIE}, pages = {482--493}, year = {1994} } @article{Freund94l, author = {R. W. Freund and M. Hochbruck}, title = {On the Use of Two {QMR} Algorithms for Solving Singular Systems and Applications in Markov Chain Modeling}, journal = {Numerical Linear Algebra with Applications}, volume = {1}, pages = {403--420}, year = {1994} } @article{Freund94m, author = {R. W. Freund and F. Jarre}, title = {An Interior-Point Method for Fractional Programs with Convex Constraints}, journal = {Mathematical Programming}, volume = {67}, pages = {407--440}, year = {1994} } @article{Freund95a, author = {R. W. Freund and F. Jarre}, title = {An Interior-Point Method for Multifractional Programs with Convex Constraints}, journal = {Journal of Optimization Theory and Applications}, volume = {85}, pages = {125--161}, year = {1995} } @inproceedings{Baldwin95, author = {C. Baldwin and R. W. Freund and E. Gallopoulos}, editor = {D. H. Bailey and P. E. Bj\o rstad and J. R. Gilbert and M. V. Mascagni and R. Schreiber and H. D. Simon and V. J. Torczon and L. T. Watson}, title = {A Parallel Iterative Method for Exponential Propagation}, booktitle = {Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing}, publisher = {SIAM}, pages = {534--539}, year = {1995} } @article{Feldmann95a, author = {P. Feldmann and R. W. Freund}, title = {Efficient Linear Circuit Analysis by {P}ad\'e Approximation via the {L}anczos Process}, journal = {IEEE Iransactions on Computer-Aided Design of Integrated Circuits and Systems}, volume = {14}, pages = {639--649}, year = {1995} } @inproceedings{Feldmann95b, author = {P. Feldmann and R. W. Freund}, title = {Reduced-Order Modeling of Large Linear Subcircuits via a Block {L}anczos Algorithm}, booktitle = {Proceedings of the 32nd Design Automation Conference, San Francisco, California}, publisher = {Association for Computing Machinery, Inc.}, pages = {474--479}, year = {1995} } @inproceedings{Freund95b, author = {R. W. Freund}, editor = {C. K. Chui and L. L. Schumaker}, title = {Computation of Matrix {P}ad\'e Approximations of Transfer Functions Via a {L}anczos-Type Process}, booktitle = {Approximation Theory VIII, Vol.~1: Approximation and Interpolation}, publisher = {World Scientific Publishing Co.}, pages = {215--222}, year = {1995} } @article{Freund95c, author = {R. W. Freund and N. M. Nachtigal}, title = {Software for Simplified {L}anczos and {QMR} Algorithms}, journal = {Applied Numerical Mathematics}, volume = {19}, pages = {319--341}, year = {1995} } @article{Freund96a, author = {R. W. Freund and N. M. Nachtigal}, title = {{QMRPACK}: a Package of {QMR} Algorithms}, journal = {ACM Transactions on Mathematical Software}, volume = {22}, pages = {46--77}, year = {1996} } @article{Freund96b, author = {R. W. Freund and P. Feldmann}, title = {Small-signal circuit analysis and sensitivity computations with the {PVL} algorithm}, journal = {IEEE Transactions on Circuits and and Systems---II: Analog and Digital Signal Processing}, volume = {43}, pages = {577--585}, year = {1996} } @article{Freund96c, author = {P. Feldmann and R. W. Freund}, title = {Apparatus and method for analyzing circuits}, journal = {U.S. Patent 5,537,329}, month = {July 16,}, year = {1996} } @article{Freund96d, author = {R. W. Freund and F. Jarre and S. Schaible}, title = {On self-concordant barrier functions for conic hulls and fractional programming}, journal = {Mathematical Programming}, volume = {74}, pages = {237--246}, year = {1996} } @inproceedings{Freund96e, author = {R. W. Freund and P. Feldmann}, title = {Reduced-order modeling of large passive linear circuits by means of the {SyPVL} algorithm}, booktitle = {Technical Digest of the 1996 IEEE/ACM International Conference on Computer-Aided Design}, publisher = {IEEE Computer Society Press}, pages = {280--287}, year = {1996} } @article{Freund96f, author = {R. W. Freund and F. Jarre}, title = {A {QMR}-based interior-point algorithm for solving linear programs}, journal = {Mathematical Programming, Series~B}, volume = {76}, pages = {183--210}, year = {1996} } @inproceedings{Freund97a, author = {R. W. Freund}, editor = {C. I. Byrnes and B. N. Datta and D. S. Gilliam and C. F. Martin}, title = {Circuit simulation techniques based on {L}anczos-type algorithms}, booktitle = {Systems and Control in the Twenty-First Century}, publisher = {Birk\"auser}, pages = {171--184}, year = {1997} } @article{Freund97b, author = {R. W. Freund and M. Malhotra}, title = {A block {QMR} algorithm for non-{H}ermitian linear systems with multiple right-hand sides}, journal = {Linear Algebra and Its Applications}, volume = {254}, pages = {119--157}, year = {1997} } @article{Freund97c, author = {M. Malhotra and R. W. Freund and P. M. Pinsky}, title = {Iterative Solution of Multiple Radiation and Scattering Problems in Structural Acoustics Using a Block Quasi-Minimal Residual Algorithm}, journal = {Computer Methods in Applied Mechanics and Engineering}, volume = {146}, pages = {173--196}, year = {1997} } @inproceedings{Freund97d, author = {R. W. Freund}, editor = {A. Sydow}, title = {Preconditioning of symmetric, but highly indefinite linear systems}, booktitle = {15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Vol.~2, Numerical Mathematics}, publisher = {Wissenschaft und Technik Verlag}, pages = {551--556}, year = {1997} } @inproceedings{Freund97e, author = {R. W. Freund and M. Malhotra}, editor = {A. Sydow}, title = {The block-{QMR} method for the solution of multiple radiation and scattering problems in structural acoustics}, booktitle = {15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Vol.~3, Computational Physics, Chemistry and Biology}, publisher = {Wissenschaft und Technik Verlag}, pages = {461--466}, year = {1997} } @inproceedings{Freund97f, author = {P. Fiebach and R. W. Freund and A. Frommer}, editor = {A. Sydow}, title = {Variants of the block-{QMR} method and applications in quantum chromodynamics}, booktitle = {15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Vol.~3, Computational Physics, Chemistry and Biology}, publisher = {Wissenschaft und Technik Verlag}, pages = {491--496}, year = {1997} } @inproceedings{Freund97g, author = {P. Feldmann and R. W. Freund}, title = {Interconnect-delay computation and signal-integrity verification using the {SyMPVL} algorithm}, booktitle = {Proceedings of the 1997 European Conference on Circuit Theory and Design}, publisher = {European Circuit Society}, pages = {408--413}, year = {1997} } @inproceedings{Freund97h, author = {W. M. Coughran, Jr. and R. W. Freund}, title = {Recent advances in {K}rylov-subspace solvers for linear systems and applications in device simulation}, booktitle = {Proceedings of the 1997 International Conference on Simulation of Semiconductor Processes and Devices}, publisher = {IEEE}, pages = {9--16}, year = {1997} } @inproceedings{Freund97i, author = {R. W. Freund and P. Feldmann}, title = {The {SyMPVL} algorithm and its applications to interconnect simulation}, booktitle = {Proceedings of the 1997 International Conference on Simulation of Semiconductor Processes and Devices}, publisher = {IEEE}, pages = {113--116}, year = {1997} } @inproceedings{Freund97j, author = {P. Feldmann and R. W. Freund}, title = {Circuit noise evaluation by {P}ad\'e approximation based model-reduction techniques}, booktitle = {Technical Digest of the 1997 IEEE/ACM International Conference on Computer-Aided Design}, publisher = {IEEE Computer Society Press}, pages = {132--138}, year = {1997} } @article{Freund97k, author = {P. Feldmann and R. W. Freund}, title = {Apparatus and method for analyzing circuits using reduced-order modeling of large linear subcircuits}, journal = {U.S. Patent 5,689,685}, month = {November 18,}, year = {1997} } @inproceedings{Freund97l, author = {R. W. Freund}, title = {Computing minimal partial realizations via a {L}anczos-type algorithm for multiple starting vectors}, booktitle = {Proceedings of the 36th IEEE Conference on Decision and Control}, publisher = {IEEE}, pages = {4394--4399}, year = {1997} } @techreport{Freund97m, author = {Z. Bai and P. Feldmann and R. W. Freund}, title = {Stable and passive reduced-order models based on partial {P}ad\'e approximation via the {L}anczos process}, type = {Numerical {A}nalysis {M}anuscript 97--3--10}, institution = {Bell {L}aboratories}, year = {1997}, URL = "http://cm.bell-labs.com/cm/cs/doc/97/3-10.ps.gz" } @inproceedings{Freund98a, author = {R. W. Freund and P. Feldmann}, title = {Reduced-order modeling of large linear passive multi-terminal circuits using matrix-{P}ad\'e approximation}, booktitle = {Proceedings of the Design, Automation and Test in Europe Conference 1998}, publisher = {IEEE Computer Society Press}, pages = {530--537}, year = {1998} } @inproceedings{Freund98b, author = {Z. Bai and P. Feldmann and R. W. Freund}, title = {How to make theoretically passive reduced-order models passive in practice}, booktitle = {Proceedings of the IEEE 1998 Custom Integrated Circuits Conference}, publisher = {IEEE}, pages = {207--210}, year = {1998} } @article{Freund99a, author = {R. W. Freund and F. Jarre and S. Mizuno}, title = {Convergence of a class of inexact interior-point algorithms for linear programs}, journal = {Mathematics of Operations Research}, volume = {24}, pages = {50--71}, year = {1999} } @incollection{Freund99b, author = {R. W. Freund}, editor = {B. N. Datta}, title = {Reduced-order modeling techniques based on {K}rylov subspaces and their use in circuit simulation}, booktitle = {Applied and Computational Control, Signals, and Circuits, Volume~1}, publisher = {Birkh\"auser}, Address = {Boston}, pages = {435--498}, year = {1999} } @inproceedings{Freund99c, author = {R. W. Freund}, title = {Passive Reduced-Order Models for Interconnect Simulation and their Computation via {K}rylov-Subspace Algorithms}, booktitle = {Proceedings of the 36th Design Automation Conference, New Orleans, Louisiana}, publisher = {Association for Computing Machinery, Inc.}, pages = {195--200}, year = {1999} } @article{Freund00a, author = {Z. Bai and P. Feldmann and R. W. Freund}, title = {Apparatus and Method for Analyzing Circuits Using Reduced-Order Modeling of Large Linear Subcircuits}, journal = {U.S. Patent 6,023,573}, month = {February 8,}, year = {2000} } @article{Freund00b, author = {J. I. Aliaga and D. L. Boley and R. W. Freund and V. Hern\'andez}, title = {A {L}anczos-type method for multiple starting vectors}, journal = {Mathematics of Computation}, volume = {69}, pages = {1577--1601}, year = {2000} } @incollection{Freund00c, author = {D. J. Estep and R. W. Freund}, editor = {B. Cockburn and G. E. Karniadakis and C.-W. Shu}, title = {Using {K}rylov-subspace iterations in discontinuous {G}alerkin methods for nonlinear reaction-diffusion systems}, booktitle = {Discontinuous Galerkin Methods}, series = {Lecture Notes in Computational Science and Engineering, Vol. 11}, pages = {327--335}, year = {2000}, publisher = {Springer-Verlag}, address = {Berlin} } @article{Freund00d, author = {P. Feldmann and R. W. Freund}, title = {Apparatus and Method for Analyzing Passive Circuits Using Reduced-Order Modeling of Large Linear Subcircuits}, journal = {U.S. Patent 6,041,170}, month = {March 21,}, year = {2000} } @inproceedings{Freund00e, author = {R. W. Freund}, title = {Passive reduced-order modeling via {K}rylov-subspace methods}, booktitle = {Proceedings of the 14th Symposium on Mathematical Theory of Networks and Systems}, address = {Perpignan, France}, year = {June 19--23, 2000}, URL = "http://cm.bell-labs.com/cm/cs/doc/00/3-02.ps.gz" } @inproceedings{Freund00f, author = {R. W. Freund}, title = {Passive reduced-order modeling via {K}rylov-subspace methods}, booktitle = {Proceedings of the 2000 IEEE International Symposium on Computer-Aided Control System Design}, publisher = {IEEE}, pages = {261--266}, year = {2000} } @article{Freund00g, author = {P. Feldmann and R. W. Freund}, title = {Method of Modeling and Analyzing Electronic Noise Using {P}ad\'e Approximation-Based Model-Reduction Techniques}, journal = {U.S. Patent 6,135,649}, month = {October 24,}, year = {2000} } @incollection{Freund00h, author = {R. W. Freund}, editor = {Z. Bai and J. Demmel and J. Dongarra and A. Ruhe and H. van der Vorst}, title = {Band {L}anczos Method ({S}ection 4.6)}, booktitle = {Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide}, publisher = {SIAM}, address = {Philadelphia}, year = {2000}, pages = {\mbox{80--88}} } @incollection{Freund00i, author = {R. W. Freund}, editor = {Z. Bai and J. Demmel and J. Dongarra and A. Ruhe and H. van der Vorst}, title = {Band {L}anczos Method ({S}ection 7.10)}, booktitle = {Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide}, publisher = {SIAM}, address = {Philadelphia}, year = {2000}, pages = {205--216} } @incollection{Freund00j, author = {R. W. Freund}, editor = {Z. Bai and J. Demmel and J. Dongarra and A. Ruhe and H. van der Vorst}, title = {{L}anczos Method for Complex Symmetric Eigenproblems ({S}ection 7.11)}, booktitle = {Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide}, publisher = {SIAM}, address = {Philadelphia}, year = {2000}, pages = {216--220} } @article{Freund00k, author = {R. W. Freund}, title = {Krylov-subspace methods for reduced-order modeling in circuit simulation}, journal = {Journal of Computational and Applied Mathematics}, volume = {123}, pages = {395--421}, year = {2000} } @article{Freund00n, author = {Z.~Bai and R. W. Freund}, title = {Eigenvalue-based characterization and test for positive realness of scalar transfer functions}, journal = {IEEE Transaction on Automatic Control}, volume = {45}, pages = {2396--2402}, year = {2000} % URL = "http://cm.bell-labs.com/cm/cs/doc/99/3-02.ps.gz" } @techreport{Freund00x, author = {R. W. Freund and F. Jarre}, title = {An extension of the positive real lemma to descriptor systems}, type = {Numerical {A}nalysis {M}anuscript 00--3--09}, institution = {Bell {L}aboratories}, year = {2000}, URL = "http://cm.bell-labs.com/cm/cs/doc/00/3-09.ps.gz" } @article{Freund01a, author = {R. W. Freund}, title = {Computation of matrix-valued formally orthogonal polynomials and applications}, journal = {Journal of Computational and Applied Mathematics}, volume = {127}, pages = {173--199}, year = {2001} % URL = "http://cm.bell-labs.com/cm/cs/doc/00/3-01.ps.gz" } @article{Freund00m, author = {R. W. Freund and F. Jarre}, title = {Solving the sum-of-ratios problem by an interior-point method}, journal = {Journal of Global Optimization}, volume = {19}, pages = {83--102}, year = {2001} % URL = "http://cm.bell-labs.com/cm/cs/doc/99/3-13.ps.gz" } @article{Freund01b, author = {Z.~Bai and R. W. Freund}, title = {A partial {P}ad\'e-via-{L}anczos method for reduced-order modeling}, journal = {Linear Algebra and Its Applications}, volume = {332--334}, pages = {141--166}, year = {2001} % URL = "http://cm.bell-labs.com/cm/cs/doc/99/3-20.ps.gz" } @article{Freund01c, author = {Z.~Bai and R. W. Freund}, title = {A Symmetric Band {L}anczos Process Based on Coupled Recurrences and Some Applications}, journal = {SIAM Journal on Scientific Computing}, volume = {23}, pages = {542--562}, year = {2001} % URL = "http://cm.bell-labs.com/cm/cs/doc/00/3-04.ps.gz" } @techreport{Freund02a, author = {Z. Bai and P. M. Dewilde and R. W. Freund}, title = {Reduced-order modeling}, type = {Numerical {A}nalysis {M}anuscript 02--4--13}, institution = {Bell {L}aboratories}, year = {2002}, URL = "http://cm.bell-labs.com/cm/cs/doc/02/4-13.ps.gz" } @techreport{HoCFVS02, author = {T. K. Ho and L. C. Cowsar and R. W. Freund and L. Vardapetyan and T. R. Salamon}, title = {Modeling and simulation of control dynamics in optical transport systems}, type = {Numerical {A}nalysis {M}anuscript 02--4--32}, institution = {Bell {L}aboratories}, year = {2002}, URL = "http://cm.bell-labs.com/cm/cs/doc/02/4-32.doc.gz" } @techreport{Freund02b, author = {R. W. Freund}, title = {Simulation of {R}aman Amplification}, type = {Numerical {A}nalysis {M}anuscript 02--4--37}, institution = {Bell {L}aboratories}, year = {2002}, URL = "http://cm.bell-labs.com/cm/cs/doc/02/4-37.ps.gz" } @techreport{Freund03a, author = {R. W. Freund}, title = {Optimal pump control of broadband {R}aman amplifiers via linear programming}, type = {{T}echnical {M}emorandum {ITD}-03-44004{F}}, institution = {Bell {L}aboratories, {L}ucent {T}echnologies}, year = {2003}, URL = "http://cm.bell-labs.com/cs/doc/03/raman_tm.pdf" } @article{Freund03b, author = {R. W. Freund}, title = {Model reduction methods based on {K}rylov subspaces}, journal = {Acta Numerica}, volume = {12}, pages = {267--319}, year = {2003} % URL = "http://cm.bell-labs.com/cm/cs/doc/03/4-01.ps.gz" } @article{Freund04a, author = {R. W. Freund and F. Jarre}, title = {A sensitivity result for semidefinite programs}, journal = {Operations Research Letters}, volume = {32}, pages = {126--132}, year = {2004} % URL = "http://cm.bell-labs.com/cm/cs/doc/03/4-07.ps.gz" } @article{Freund04b, author = {R. W. Freund and F. Jarre}, title = {An extension of the positive real lemma to descriptor systems}, journal = {Optimization Methods and Software}, volume = {18}, pages = {69--87}, year = {2004} }