bibliography freund


  1. J. Stoer and R. W. Freund, On the Solution of Large Indefinite Systems of Linear Equations by Conjugate Gradient Algorithms, Proceedings of the Fifth International Conference on Computing Methods in Applied Sciences and Engineering, Ed. R. Glowinski and J. L. Lions, pp. 35-53, North-Holland, 1982.
  2. R. W. Freund, Ueber einige cg-aehnliche Verfahren zur Loesung linearer Gleichungssysteme, Universitaet Wuerzburg, Germany, 1983, Doctoral Thesis.
  3. R. W. Freund and S. Ruscheweyh, On a Class of Chebyshev Approximation Problems which Arise in Connection with a Conjugate Gradient Type Method, Numerische Mathematik, Vol. 48, pp. 525-542, 1986.
  4. R. W. Freund, A Note on Two Block-SOR Methods for Sparse Least Squares Problems, Linear Algebra and Its Applications, Vol. 88 89, pp. 211-221, 1987.
  5. R. W. Freund, On Some Approximation Problems for Complex Polynomials, Constructive Approximation, Vol. 4, pp. 111-121, 1988.
  6. R. W. Freund and T. Huckle, An Extension Problem for H-Unitary Matrices with Applications to Hermitian Toeplitz Matrices, Linear Algebra and Its Applications, Vol. 108, pp. 213-230, 1988.
  7. R. W. Freund and T. Huckle, On Hermitian Block Toeplitz Matrices and Generalizations of a Theorem of C. Caratheodory, Proceedings of the Bavarian Academy of Sciences, pp. 41-61, 1988.
  8. R. W. Freund, On Polynomial Approximations to $f_a(z)=(z-a)^{-1}$ with Complex a and Some Applications to Certain Non-Hermitian Matrices, Approximation Theory and Its Applications, Vol. 5, pp. 15-31, 1989.
  9. R. W. Freund and T. Huckle, Extension Problems for H-Unitary Matrices and Hermitian Block Toeplitz Matrices, Zeitschrift fuer Angewandte Mathematik und Mechanik, Vol. 69, pp. T210-T212, 1989.
  10. R. W. Freund and T. Huckle, On H-Contractions and the Extension Problem for Hermitian Block Toeplitz Matrices, Linear and Multilinear Algebra, Vol. 25, pp. 27-37, 1989.
  11. R. W. Freund, On Polynomial Preconditioning for Indefinite Hermitian Matrices, RIACS, NASA Ames Research Center, Moffett Field, California, 1989, Technical Report 89.32.
  12. R. W. Freund, Pseudo- Ritz Values for Indefinite Hermitian Matrices, RIACS, NASA Ames Research Center, Moffett Field, California, 1989, Technical Report 89.33.
  13. B. Fischer and R. W. Freund, Optimal Chebyshev Polynomials on Ellipses in the Complex Plane, Approximation Theory VI, Ed. C. K. Chui and L. L. Schumaker and D. J. Ward, pp. 251-254, Academic Press, 1989.
  14. R. W. Freund, Explicitly Solvable Complex Approximation Problems Related to Sine Polynomials, Approximation Theory VI, Ed. C. K. Chui and L. L. Schumaker and D. J. Ward, pp. 263-266, Academic Press, 1989.
  15. R. W. Freund, On Conjugate Gradient Type Methods and Polynomial Preconditioners for a Class of Complex Non-Hermitian Matrices, Numerische Mathematik, Vol. 57, pp. 285-312, 1990.
  16. B. Fischer and R. W. Freund, On the Constrained Chebyshev Approximation Problem on Ellipses, Journal of Approximation Theory, Vol. 62, pp. 297-315, 1990.
  17. P. Deuflhard and R. W. Freund and A. Walter, Fast Secant Methods for the Iterative Solution of Large Nonsymmetric Linear Systems, Impact of Computing in Science and Engineering, Vol. 2, pp. 244-276, 1990.
  18. R. W. Freund, On B ernstein Type Inequalities and a Weighted Chebyshev Approximation Problem on Ellipses, Computational Methods and Function Theory Proceedings Valparaiso 1989, Ed. S. Ruscheweyh and E. B. Saff and L. C. Salinas and R. S. Varga, pp. 45-55, Springer-Verlag, 1990.
  19. R. W. Freund and M. H. Gutknecht and N. M. Nachtigal, An Implementation of the Look-Ahead Lanczos Algorithm Part I, RIACS, NASA Ames Research Center, Moffett Field, California, 1990, Technical R eport 90.45.
  20. R. W. Freund and N. M. Nachtigal, An Implementation of the Look-Ahead Lanczos Algorithm Part II, RIACS, NASA Ames Research Center, Moffett Field, California, 1990, Technical R eport 90.46.
  21. B. Fischer and R. W. Freund, New Bernstein Type Inequalities for Polynomials on Ellipses, Complex Variables, Vol. 16, pp. 289-305, 1991.
  22. B. Fischer and R. W. Freund, Chebyshev Polynomials are not Always Optimal, Journal of Approximation Theory, Vol. 65, pp. 261-272, 1991.
  23. R. W. Freund, On Polynomial Preconditioning and Asymptotic Convergence Factors for Indefinite Hermitian Matrices, Linear Algebra and Its Applications, Vol. 154-156, pp. 259-288, 1991.
  24. R. W. Freund, Krylov Subspace Methods for Complex Non-Hermitian Linear Systems, Universitaet Wuerzburg, Germany, 1991, Habilitation Thesis.
  25. R. W. Freund and N. M. Nachtigal, QMR a Quasi-Minimal Residual Method for Non-Hermitian Linear Systems, Numerische Mathematik, Vol. 60, pp. 315-339, 1991.
  26. R. W. Freund and M. Hochbruck, A Biconjugate Gradient Type Algorithm on Massively Parallel Architectures, IMACS 91 Proceedings of the 13th World Congress on Computational and Applied Mathematics, Ed. R. Vichnevetsky and J. J. H. Miller, pp. 720-721, Criterion Press, Dublin, 1991.
  27. R. W. Freund, Conjugate Gradient-Type Methods for Linear Systems with Complex Symmetric Coefficient Matrices, SIAM Journal on Scientific and Statistical Computing, Vol. 13, pp. 425-448, 1992.
  28. R. W. Freund, G. H. Golub, and N. M. Nachtigal, Iterative Solution of Linear Systems, Acta Numerica, Vol. 1, pp. 57-100, 1992.
  29. R. W. Freund, Quasi-Kernel Polynomials and Convergence Results for Quasi-Minimal Residual Iterations, Numerical Methods of Approximation Theory Vol. 9, Ed. D. Braess and L. L. Schumaker, pp. 77-95, Birkh a user, 1992.
  30. R. W. Freund and M. Hochbruck, On the Use of Two QMR Algorithms for Solving Singular Systems and Applications in Markov Chain Modeling, Proceedings of the Second Copper Mountain Conference on Iterative Methods, 1992.
  31. R. W. Freund and T. Szeto, A Quasi-Minimal Residual Squared Algorithm for Non- H ermitian Linear Systems, Proceedings of the Second Copper Mountain Conference on Iterative Methods, 1992.
  32. R. W. Freund and N. M. Nachtigal, QMR a Quasi-Minimal Residual Method for Non-Hermitian Linear Systems, Iterative Methods in Linear Algebra, Ed. R. Beauwens and P. de Groen, pp. 151-154, Elsevier Science Publishers, 1992.
  33. B. Fischer and R. W. Freund, On Adaptive Weighted Polynomial Preconditioning for Hermitian Positive Definite Matrices, Proceedings of the Second Copper Mountain Conference on Iterative Methods, 1992.
  34. R. W. Freund, Quasi-Kernel Polynomials and Their Use in Non-Hermitian Matrix Iterations, Journal of Computational and Applied Mathematics, Vol. 43, pp. 135-158, 1992.
  35. R. W. Freund and M. Hochbruck, A Biconjugate Gradient-Type Algorithm for the Iterative Solution of Non- H ermitian Linear Systems on Massively Parallel Architectures, IMACS 91 Proceedings of the 13th World Congress on Computational and Applied Mathematics I-Algorithms and Theory, Ed. C. Brezinski and U. Kulisch, pp. 169-178, Elsevier Science Publishers, 1992.
  36. R. W. Freund and T. Szeto, A Transpose-Free Quasi-Minimal Residual Squared Algorithm for Non-Hermitian Linear Systems, Advances in Computer Methods for Partial Differential Equations - VII, Ed. R. Vichnevetsky and D. Knight and G. Richter, pp. 258-264, IMACS, 1992.
  37. R. W. Freund, M. H. Gutknecht, and N. M. Nachtigal, An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices, SIAM Journal on Scientific Computing, Vol. 14, pp. 137-158, 1993.
  38. R. W. Freund, A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems, SIAM Journal on Scientific Computing, Vol. 14, pp. 470-482, 1993.
  39. R. W. Freund and T. Huckle, A Restricted Signature Normal Form for Hermitian Matrices Quasi-Spectral Decompositions and Applications, Linear Algebra and Its Applications, Vol. 184, pp. 165-186, 1993.
  40. R. W. Freund, The Look-Ahead Lanczos Process for Large Nonsymmetric Matrices and Related Algorithms, Linear Algebra for Large Scale and Real-Time Applications, Ed. M. S. Moonen, G. H. Golub, and B. L. R. de Moor, pp. 137-163, Kluwer Academic Publishers, 1993.
  41. R. W. Freund and M. Hochbruck, Gauss Quadratures Associated With the Arnoldi Process and the Lanczos Algorithm, Linear Algebra for Large Scale and Real-Time Applications, Ed. M. S. Moonen, G. H. Golub, and B. L. R. de Moor, pp. 377-380, Kluwer Academic Publishers, 1993.
  42. R. W. Freund and N. M. Nachtigal, An Implementation of the QMR Method Based on Coupled Two-Term Recurrences, Linear Algebra for Large Scale and Real-Time Applications, Ed. M. S. Moonen, G. H. Golub, and B. L. R. de Moor, pp. 381-384, Kluwer Academic Publishers, 1993.
  43. R. W. Freund and H. Zha, A Look-Ahead Algorithm for the Solution of General Hankel Systems, Numerische Mathematik, Vol. 64, pp. 295-321, 1993.
  44. R. W. Freund, Solution of Shifted Linear Systems by Quasi-Minimal Residual Iterations, Numerical Linear Algebra, Ed. L. Reichel, A. Ruttan, and R. S. Varga, pp. 101-121, W. de Gruyter, 1993.
  45. R. W. Freund and N. M. Nachtigal, Implementation Details of the Coupled QMR Algorithm, Numerical Linear Algebra, Ed. L. Reichel, A. Ruttan, and R. S. Varga, pp. 123-140, W. de Gruyter, 1993.
  46. R. W. Freund, G. H. Golub, and N. M. Nachtigal, Recent Advances in Lanczos-Based Iterative Methods for Nonsymmetric Linear Systems, Algorithmic Trends in Computational Fluid Dynamics, Ed. M. Y. Hussaini, A. Kumar, and M. D. Salas, pp. 137-162, Springer-Verlag, 1993.
  47. R. W. Freund and H. Zha, Formally Biorthogonal Polynomials and a Look-Ahead Levinson Algorithm for General Toeplitz Systems, Linear Algebra and Its Applications, Vol. 188 189, pp. 255-303, 1993.
  48. R. W. Freund, Transpose-Free Quasi-Minimal Residual Methods for Non-Hermitian Linear Systems, Recent Advances in Iterative Methods, The IMA Volumes in Mathematics and its Applications, Vol. 60, Ed. G. Golub, A. Greenbaum, and M. Luskin, pp. 69-94, Springer-Verlag, 1994.
  49. R. W. Freund and N. M. Nachtigal, An Implementation of the QMR Method Based on Coupled Two-Term Recurrences, SIAM Journal on Scientific Computing, Vol. 15, pp. 313-337, 1994.
  50. B. Fischer and R. W. Freund, On Adaptive Weighted Polynomial Preconditioning for Hermitian Positive Definite Matrices, SIAM Journal on Scientific Computing, Vol. 15, pp. 408-426, 1994.
  51. R. W. Freund and F. Jarre, A Polynomial-Time Algorithm for Fractional Programs with Convex Constraints, Zeitschrift fuer Angewandte Mathematik und Mechanik, Vol. 74, pp. T523-T525, 1994.
  52. R. W. Freund, A Look-Ahead Schur-Type Algorithm for Solving General Toeplitz Systems, Zeitschrift fuer Angewandte Mathematik und Mechanik, Vol. 74, pp. T538-T541, 1994.
  53. W. M. Coughran Jr., and R. W. Freund, and R. K. Smith, Algorithms for Augmented Device Simulation Models Incorporating IV Continuation and Circuit Element Equations, Workshop on Numerical Modeling of Processes and Devices for Integrated Circuits: NUPAD V Technical Digest, pp. 127-128, 1994.
  54. R. W. Freund, A Look-Ahead Bareiss Algorithm for General Toeplitz Matrices, Numerische Mathematik, Vol. 68, pp. 35-69, 1994.
  55. R. W. Freund and N. M. Nachtigal, A New Krylov-Subspace Method for Symmetric Indefinite Linear Systems, Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics, Ed. W. F. Ames, pp. 1253-1256, IMACS, 1994.
  56. R. W. Freund and N. M. Nachtigal, QMRPACK and Applications, Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics, Ed. W. F. Ames, pp. 1257-1260, IMACS, 1994.
  57. P. Feldmann and R. W. Freund, Efficient Linear Circuit Analysis by Pade Approximation via the Lanczos Process, Proceedings of EURO-DAC 94 with EURO-VHDL 94 Grenoble France, pp. 170-175, IEEE Computer Society Press, 1994.
  58. R. W. Freund, The Look-Ahead Lanczos Process for Nonsymmetric Matrices and its Applications, Proceedings of the Cornelius Lanczos International Centenary Conference, Ed. J. D. Brown, M. T. Chu, D. C. Ellison, and R. J. Plemmons, pp. 33-47, SIAM, 1994.
  59. R. W. Freund, Lanczos-Type Algorithms for Structured Non-Hermitian Eigenvalue Problems, Proceedings of the Cornelius Lanczos International Centenary Conference, Ed. J. D. Brown, M. T. Chu, D. C. Ellison, and R. J. Plemmons, pp. 243-245, SIAM, 1994.
  60. R. W. Freund and B. Fischer, An Inner Product-Free Conjugate Gradient-Like Algorithm for Hermitian Positive Definite Systems, Proceedings of the Cornelius Lanczos International Centenary Conference, Ed. J. D. Brown, M. T. Chu, D. C. Ellison, and R. J. Plemmons, pp. 288-290, SIAM, 1994.
  61. R. W. Freund and P. Feldmann, Efficient Small-Signal Circuit Analysis and Sensitivity Computations with the PVL Algorithm, Technical Digest of the 1994 IEEE ACM International Conference on Computer-Aided Design, pp. 404-411, IEEE Computer Society Press, 1994.
  62. R. W. Freund, A Look-Ahead S chur-Type Algorithm for Solving General T oeplitz Systems, Advanced Signal Processing: Algorithms Architectures and Implementations V Proc. SPIE Vol. 2296, Ed. F. T. Luk, pp. 482-493, SPIE, 1994.
  63. R. W. Freund and M. Hochbruck, On the Use of Two QMR Algorithms for Solving Singular Systems and Applications in Markov Chain Modeling, Numerical Linear Algebra with Applications, Vol. 1, pp. 403-420, 1994.
  64. R. W. Freund and F. Jarre, An Interior-Point Method for Fractional Programs with Convex Constraints, Mathematical Programming, Vol. 67, pp. 407-440, 1994.
  65. R. W. Freund and F. Jarre, An Interior-Point Method for Multifractional Programs with Convex Constraints, Journal of Optimization Theory and Applications, Vol. 85, pp. 125-161, 1995.
  66. C. Baldwin, R. W. Freund, and E. Gallopoulos, A Parallel Iterative Method for Exponential Propagation, Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, Ed. D. H. Bailey, P. E. Bjoerstad, J. R. Gilbert, M. V. Mascagni, R. Schreiber, H. D. Simon, V. J. Torczon, and L. T. Watson, pp. 534-539, SIAM, 1995.
  67. P. Feldmann and R. W. Freund, Efficient Linear Circuit Analysis by Pade Approximation via the Lanczos Process, IEEE Iransactions on Computer-Aided Design of Integrated Circuits and Systems, Vol. 14, pp. 639-649, 1995.
  68. P. Feldmann and R. W. Freund, Reduced-Order Modeling of Large Linear Subcircuits via a Block Lanczos Algorithm, Proceedings of the 32nd Design Automation Conference San Francisco California, pp. 474-479, Association for Computing Machinery Inc., 1995.
  69. R. W. Freund, Computation of Matrix Pade Approximations of Transfer Functions Via a Lanczos-Type Process, Approximation Theory VIII Vol. 1: Approximation and Interpolation, Ed. C. K. Chui and L. L. Schumaker, pp. 215-222, World Scientific Publishing Co., 1995.
  70. R. W. Freund and N. M. Nachtigal, Software for Simplified Lanczos and QMR Algorithms, Applied Numerical Mathematics, Vol. 19, pp. 319-341, 1995.
  71. R. W. Freund and N. M. Nachtigal, QMRPACK a Package of QMR Algorithms, ACM Transactions on Mathematical Software, Vol. 22, pp. 46-77, 1996.
  72. R. W. Freund and P. Feldmann, Small-signal circuit analysis and sensitivity computations with the PVL algorithm, IEEE Transactions on Circuits and and Systems-II: Analog and Digital Signal Processing, Vol. 43, pp. 577-585, 1996.
  73. P. Feldmann and R. W. Freund, Apparatus and method for analyzing circuits, U.S. Patent 5 537 329, July 16 1996.
  74. R. W. Freund and F. Jarre and S. Schaible, On self-concordant barrier functions for conic hulls and fractional programming, Mathematical Programming, Vol. 74, pp. 237-246, 1996.
  75. R. W. Freund and P. Feldmann, Reduced-order modeling of large passive linear circuits by means of the SyPVL algorithm, Technical Digest of the 1996 IEEE ACM International Conference on Computer-Aided Design, pp. 280-287, IEEE Computer Society Press, 1996.
  76. R. W. Freund and F. Jarre, A QMR -based interior-point algorithm for solving linear programs, Mathematical Programming Series B, Vol. 76, pp. 183-210, 1996.
  77. R. W. Freund, Circuit simulation techniques based on Lanczos-type algorithms, Systems and Control in the Twenty-First Century, Ed. C. I. Byrnes, B. N. Datta, D. S. Gilliam, and C. F. Martin, pp. 171-184, Birkauser, 1997.
  78. R. W. Freund and M. Malhotra, A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides, Linear Algebra and Its Applications, Vol. 254, pp. 119-157, 1997.
  79. M. Malhotra, R. W. Freund, and P. M. Pinsky, Iterative Solution of Multiple Radiation and Scattering Problems in Structural Acoustics Using a Block Quasi-Minimal Residual Algorithm, Computer Methods in Applied Mechanics and Engineering, Vol. 146, pp. 173-196, 1997.
  80. R. W. Freund, Preconditioning of symmetric but highly indefinite linear systems, 15th IMACS World Congress on Scientific Computation Modelling and Applied Mathematics, Vol. 2 Numerical Mathematics, Ed. A. Sydow, pp. 551-556, Wissenschaft und Technik Verlag, 1997.
  81. R. W. Freund and M. Malhotra, The block-QMR method for the solution of multiple radiation and scattering problems in structural acoustics, 15th IMACS World Congress on Scientific Computation Modelling and Applied Mathematics, Vol. 3 Computational Physics Chemistry and Biology, Ed. A. Sydow, pp. 461-466, Wissenschaft und Technik Verlag, 1997.
  82. P. Fiebach, R. W. Freund, and A. Frommer, Variants of the block-QMR method and applications in quantum chromodynamics, 15th IMACS World Congress on Scientific Computation Modelling and Applied Mathematics, Vol.3 Computational Physics Chemistry and Biology, Ed. A. Sydow, pp. 491-496, Wissenschaft und Technik Verlag, 1997.
  83. P. Feldmann and R. W. Freund, Interconnect-delay computation and signal-integrity verification using the SyMPVL algorithm, Proceedings of the 1997 European Conference on Circuit Theory and Design, pp. 408-413, European Circuit Society, 1997.
  84. W. M. Coughran Jr. and R. W. Freund, Recent advances in Krylov-subspace solvers for linear systems and applications in device simulation, Proceedings of the 1997 International Conference on Simulation of Semiconductor Processes and Devices, pp. 9-16, IEEE, 1997.
  85. R. W. Freund and P. Feldmann, The SyMPVL algorithm and its applications to interconnect simulation, Proceedings of the 1997 International Conference on Simulation of Semiconductor Processes and Devices, pp. 113-116, IEEE, 1997.
  86. P. Feldmann and R. W. Freund, Circuit noise evaluation by Pade approximation based model-reduction techniques, Technical Digest of the 1997 IEEE ACM International Conference on Computer-Aided Design, pp. 132-138, IEEE Computer Society Press, 1997.
  87. P. Feldmann and R. W. Freund, Apparatus and method for analyzing circuits using reduced-order modeling of large linear subcircuits, U.S. Patent 5 689 685, November 18 1997.
  88. R. W. Freund, Computing minimal partial realizations via a Lanczos-type algorithm for multiple starting vectors, Proceedings of the 36th IEEE Conference on Decision and Control, pp. 4394-4399, IEEE, 1997.
  89. Z. Bai, P. Feldmann, and R. W. Freund, Stable and passive reduced-order models based on partial Pade approximation via the Lanczos process, Bell Laboratories, 1997, Numerical Analysis Manuscript 97-3-10, /cm/cs/doc/97 3-10.ps.gz.
  90. R. W. Freund and P. Feldmann, Reduced-order modeling of large linear passive multi-terminal circuits using matrix- Pade approximation, Proceedings of the Design Automation and Test in Europe Conference 1998, pp. 530-537, IEEE Computer Society Press, 1998.
  91. Z. Bai and P. Feldmann and R. W. Freund, How to make theoretically passive reduced-order models passive in practice, Proceedings of the IEEE 1998 Custom Integrated Circuits Conference, pp. 207-210, IEEE, 1998.
  92. R. W. Freund, F. Jarre, and S. Mizuno, Convergence of a class of inexact interior-point algorithms for linear programs, Mathematics of Operations Research, Vol. 24, pp. 50-71, 1999.
  93. R. W. Freund, Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation, Applied and Computational Control Signals and Circuits Volume 1, Ed. B. N. Datta, pp. 435-498, Birkhauser, Boston, 1999.
  94. R. W. Freund, Passive Reduced-Order Models for Interconnect Simulation and their Computation via Krylov-Subspace Algorithms, Proceedings of the 36th Design Automation Conference New Orleans Louisiana, pp. 195-200, Association for Computing Machinery Inc., 1999.
  95. Z. Bai and P. Feldmann and R. W. Freund, Apparatus and Method for Analyzing Circuits Using Reduced-Order Modeling of Large Linear Subcircuits, U.S. Patent 6 023 573, February 8 2000.
  96. J. I. Aliaga, D. L. Boley, R. W. Freund, and V. Hern andez, A Lanczos-type method for multiple starting vectors, Mathematics of Computation, Vol. 69, pp. 1577-1601, 2000.
  97. D. J. Estep and R. W. Freund, Using Krylov-subspace iterations in discontinuous Galerkin methods for nonlinear reaction-diffusion systems, Discontinuous Galerkin Methods, Ed. B. Cockburn, G. E. Karniadakis, and C.-W. Shu, pp. 327-335, Springer-Verlag, Berlin, Lecture Notes in Computational Science and Engineering Vol. 11, 2000.
  98. P. Feldmann and R. W. Freund, Apparatus and Method for Analyzing Passive Circuits Using Reduced-Order Modeling of Large Linear Subcircuits, U.S. Patent 6 041 170, March 21 2000.
  99. R. W. Freund, Passive reduced-order modeling via Krylov-subspace methods, Proceedings of the 14th Symposium on Mathematical Theory of Networks and Systems, Perpignan France, June 19-23 2000, /cm/cs/doc/00 3-02.ps.gz.
  100. R. W. Freund, Passive reduced-order modeling via Krylov-subspace methods, Proceedings of the 2000 IEEE International Symposium on Computer-Aided Control System Design, pp. 261-266, IEEE, 2000.
  101. P. Feldmann and R. W. Freund, Method of Modeling and Analyzing Electronic Noise Using Pade Approximation-Based Model-Reduction Techniques, U.S. Patent 6 135 649, October 24 2000.
  102. R. W. Freund, Band Lanczos Method (Section 4.6), Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, Ed. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. van der Vorst, pp. 80-88, SIAM, Philadelphia, 2000.
  103. R. W. Freund, Band Lanczos Method (Section 7.10), Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, Ed. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. van der Vorst, pp. 205-216, SIAM, Philadelphia, 2000.
  104. R. W. Freund, Lanczos Method for Complex Symmetric Eigenproblems (Section 7.11), Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, Ed. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. van der Vorst, pp. 216-220, SIAM, Philadelphia, 2000.
  105. R. W. Freund, Krylov-subspace methods for reduced-order modeling in circuit simulation, Journal of Computational and Applied Mathematics, Vol. 123, pp. 395-421, 2000.
  106. Z. Bai and R. W. Freund, Eigenvalue-based characterization and test for positive realness of scalar transfer functions, IEEE Transaction on Automatic Control, Vol. 45, pp. 2396-2402, 2000.
  107. R. W. Freund and F. Jarre, An extension of the positive real lemma to descriptor systems, Bell Laboratories, 2000, Numerical Analysis Manuscript 00-3-09, /cm/cs/doc/00 3-09.ps.gz.
  108. R. W. Freund, Computation of matrix-valued formally orthogonal polynomials and applications, Journal of Computational and Applied Mathematics, Vol. 127, pp. 173-199, 2001.
  109. R. W. Freund and F. Jarre, Solving the sum-of-ratios problem by an interior-point method, Journal of Global Optimization, Vol. 19, pp. 83-102, 2001.
  110. Z. Bai and R. W. Freund, A partial Pade-via-Lanczos method for reduced-order modeling, Linear Algebra and Its Applications, Vol. 332-334, pp. 141-166, 2001.
  111. Z. Bai and R. W. Freund, A Symmetric Band Lanczos Process Based on Coupled Recurrences and Some Applications, SIAM Journal on Scientific Computing, Vol. 23, pp. 542-562, 2001.
  112. Z. Bai, P. M. Dewilde, and R. W. Freund, Reduced-order modeling, Bell Laboratories, 2002, Numerical Analysis Manuscript 02-4-13, /cm/cs/doc/02 4-13.ps.gz.
  113. T. K. Ho, L. C. Cowsar, R. W. Freund, L. Vardapetyan, and T. R. Salamon, Modeling and simulation of control dynamics in optical transport systems, Bell Laboratories, 2002, Numerical Analysis Manuscript 02-4-32, /cm/cs/doc/02 4-32.doc.gz.
  114. R. W. Freund, Simulation of Raman Amplification, Bell Laboratories, 2002, Numerical Analysis Manuscript 02-4-37, /cm/cs/doc/02 4-37.ps.gz.
  115. R. W. Freund, Optimal pump control of broadband Raman amplifiers via linear programming, Bell Laboratories, Lucent Technologies, 2003, Technical Memorandum ITD-03-44004F, /cs/doc/03/raman_tm.pdf.
  116. R. W. Freund, Model reduction methods based on Krylov subspaces, Acta Numerica, Vol. 12, pp. 267-319, 2003.
  117. R. W. Freund and F. Jarre, A sensitivity result for semidefinite programs, Operations Research Letters, Vol. 32, pp. 126-132, 2004.
  118. R. W. Freund and F. Jarre, An extension of the positive real lemma to descriptor systems, Optimization Methods and Software, Vol. 18, pp. 69-87, 2004.