Structured matrices in mathematics, computer science, and engineering : proceedings of an AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, June 27-July 1, 1999 / [electronic resource]
Vadim Olshevsky, editor.
- Providence, R.I. : American Mathematical Society, c2001.
- 1 online resource (2 v. (xiii, 327; xiii, 344) : ill.)
- Contemporary mathematics, v. 281 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 280-281. .
Includes bibliographical references.
The Schur algorithm for matrices with Hessenberg displacement structure / Fast inversion algorithms for a class of block structured matrices / A fast and stable solver for recursively semi-separable systems of linear equations / Stability properties of several variants of the unitary Hessenberg $QR$ algorithm / Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems / Stability of Toeplitz matrix inversion formulas / Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices / Updating and downdating of orthonormal polynomial vectors and some applications / Rank-revealing decompositions of symmetric Toeplitz matrices / A survey of preconditioners for ill-conditioned Toeplitz systems / Preconditioning of Hermitian block-Toeplitz-Toeplitz-block matrices by level-1 preconditioners / Approximate displacement rank and applications / Properties of some generalizations of Kac-Murdock-Szeg�o matrices / Efficient inversion formulas for Toeplitz-plus-Hankel matrices using trigonometric transformations / On a generalization of Poincar�e's theorem for matrix difference equations arising from root-finding problems / Completions of triangular matrices: a survey of results and open problems / Positive representation formulas for finite difference discretizations of (elliptic) second order PDEs / On some problems involving invariant norms and Hadamard products / A generalization of the Perron-Frobenius theorem for non-linear perturbations of Stiltjes matrices / The rhombus matrix: definition and properties / G. Heinig and V. Olshevsky -- Y. Eidelman and I. Gohberg -- S. Chandrasekaran and Ming Gu -- Michael Stewart -- Myungwon Kim, Haesun Park and Lars Eld�en -- Georg Heinig -- James Demmel and Plamen Koev -- Marc Van Barel and Adhemar Bultheel -- Per Christian Hansen and Plamen Yalamov -- Raymond H. Chan, Michael K. Ng and Andy M. Yip -- Daniel Potts and Gabriele Steidl -- Dario Andrea Bini and Beatrice Meini -- William F. Trench -- Georg Heinig and Karla Rost -- Luca Gemignani -- Leiba Rodman -- S. Serra Capizzano and C. Tablino Possio -- Paolo Tilli -- Y. S. Choi, I. Koltracht and P. J. McKenna -- M. J. C. Gover and A. M. Byrne -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04645 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04646 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04647 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04649 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04650 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04651 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04652 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04653 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04654 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04656 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04657 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04659 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04660 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04661 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04662 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04663 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04664 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04665 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04666 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04667
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821878712 (online)
Matrices--Congresses.
QA188 / .S764 2001
512.9/434
Includes bibliographical references.
The Schur algorithm for matrices with Hessenberg displacement structure / Fast inversion algorithms for a class of block structured matrices / A fast and stable solver for recursively semi-separable systems of linear equations / Stability properties of several variants of the unitary Hessenberg $QR$ algorithm / Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems / Stability of Toeplitz matrix inversion formulas / Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices / Updating and downdating of orthonormal polynomial vectors and some applications / Rank-revealing decompositions of symmetric Toeplitz matrices / A survey of preconditioners for ill-conditioned Toeplitz systems / Preconditioning of Hermitian block-Toeplitz-Toeplitz-block matrices by level-1 preconditioners / Approximate displacement rank and applications / Properties of some generalizations of Kac-Murdock-Szeg�o matrices / Efficient inversion formulas for Toeplitz-plus-Hankel matrices using trigonometric transformations / On a generalization of Poincar�e's theorem for matrix difference equations arising from root-finding problems / Completions of triangular matrices: a survey of results and open problems / Positive representation formulas for finite difference discretizations of (elliptic) second order PDEs / On some problems involving invariant norms and Hadamard products / A generalization of the Perron-Frobenius theorem for non-linear perturbations of Stiltjes matrices / The rhombus matrix: definition and properties / G. Heinig and V. Olshevsky -- Y. Eidelman and I. Gohberg -- S. Chandrasekaran and Ming Gu -- Michael Stewart -- Myungwon Kim, Haesun Park and Lars Eld�en -- Georg Heinig -- James Demmel and Plamen Koev -- Marc Van Barel and Adhemar Bultheel -- Per Christian Hansen and Plamen Yalamov -- Raymond H. Chan, Michael K. Ng and Andy M. Yip -- Daniel Potts and Gabriele Steidl -- Dario Andrea Bini and Beatrice Meini -- William F. Trench -- Georg Heinig and Karla Rost -- Luca Gemignani -- Leiba Rodman -- S. Serra Capizzano and C. Tablino Possio -- Paolo Tilli -- Y. S. Choi, I. Koltracht and P. J. McKenna -- M. J. C. Gover and A. M. Byrne -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04645 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04646 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04647 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04649 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04650 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04651 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04652 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04653 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04654 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04656 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04657 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04659 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04660 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04661 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04662 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04663 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04664 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04665 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04666 http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04667
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821878712 (online)
Matrices--Congresses.
QA188 / .S764 2001
512.9/434