Structured matrices in mathematics, computer science, and engineering : [electronic resource] proceedings of an AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, June 27-July 1, 1999 / Vadim Olshevsky, editor.

Contributor(s): Olshevsky, Vadim, 1961-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 280-281.Publication details: Providence, R.I. : American Mathematical Society, c2001Description: 1 online resource (2 v. (xiii, 327; xiii, 344) : ill.)ISBN: 9780821878712 (online)Subject(s): Matrices -- CongressesAdditional physical formats: Structured matrices in mathematics, computer science, and engineering :DDC classification: 512.9/434 LOC classification: QA188 | .S764 2001Online resources: Contents | Contents
Contents:
The Schur algorithm for matrices with Hessenberg displacement structure / G. Heinig and V. Olshevsky -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04645 Fast inversion algorithms for a class of block structured matrices / Y. Eidelman and I. Gohberg -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04646 A fast and stable solver for recursively semi-separable systems of linear equations / S. Chandrasekaran and Ming Gu -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04647 Stability properties of several variants of the unitary Hessenberg $QR$ algorithm / Michael Stewart -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04649 Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems / Myungwon Kim, Haesun Park and Lars Eld�en -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04650 Stability of Toeplitz matrix inversion formulas / Georg Heinig -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04651 Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices / James Demmel and Plamen Koev -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04652 Updating and downdating of orthonormal polynomial vectors and some applications / Marc Van Barel and Adhemar Bultheel -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04653 Rank-revealing decompositions of symmetric Toeplitz matrices / Per Christian Hansen and Plamen Yalamov -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04654 A survey of preconditioners for ill-conditioned Toeplitz systems / Raymond H. Chan, Michael K. Ng and Andy M. Yip -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04656 Preconditioning of Hermitian block-Toeplitz-Toeplitz-block matrices by level-1 preconditioners / Daniel Potts and Gabriele Steidl -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04657 Approximate displacement rank and applications / Dario Andrea Bini and Beatrice Meini -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04659 Properties of some generalizations of Kac-Murdock-Szeg�o matrices / William F. Trench -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04660 Efficient inversion formulas for Toeplitz-plus-Hankel matrices using trigonometric transformations / Georg Heinig and Karla Rost -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04661 On a generalization of Poincar�e's theorem for matrix difference equations arising from root-finding problems / Luca Gemignani -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04662 Completions of triangular matrices: a survey of results and open problems / Leiba Rodman -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04663 Positive representation formulas for finite difference discretizations of (elliptic) second order PDEs / S. Serra Capizzano and C. Tablino Possio -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04664 On some problems involving invariant norms and Hadamard products / Paolo Tilli -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04665 A generalization of the Perron-Frobenius theorem for non-linear perturbations of Stiltjes matrices / Y. S. Choi, I. Koltracht and P. J. McKenna -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04666 The rhombus matrix: definition and properties / M. J. C. Gover and A. M. Byrne -- http://www.ams.org/conm/281/ http://dx.doi.org/10.1090/conm/281/04667
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Includes bibliographical references.

The Schur algorithm for matrices with Hessenberg displacement structure / G. Heinig and V. Olshevsky -- Fast inversion algorithms for a class of block structured matrices / Y. Eidelman and I. Gohberg -- A fast and stable solver for recursively semi-separable systems of linear equations / S. Chandrasekaran and Ming Gu -- Stability properties of several variants of the unitary Hessenberg $QR$ algorithm / Michael Stewart -- Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems / Myungwon Kim, Haesun Park and Lars Eld�en -- Stability of Toeplitz matrix inversion formulas / Georg Heinig -- Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices / James Demmel and Plamen Koev -- Updating and downdating of orthonormal polynomial vectors and some applications / Marc Van Barel and Adhemar Bultheel -- Rank-revealing decompositions of symmetric Toeplitz matrices / Per Christian Hansen and Plamen Yalamov -- A survey of preconditioners for ill-conditioned Toeplitz systems / Raymond H. Chan, Michael K. Ng and Andy M. Yip -- Preconditioning of Hermitian block-Toeplitz-Toeplitz-block matrices by level-1 preconditioners / Daniel Potts and Gabriele Steidl -- Approximate displacement rank and applications / Dario Andrea Bini and Beatrice Meini -- Properties of some generalizations of Kac-Murdock-Szeg�o matrices / William F. Trench -- Efficient inversion formulas for Toeplitz-plus-Hankel matrices using trigonometric transformations / Georg Heinig and Karla Rost -- On a generalization of Poincar�e's theorem for matrix difference equations arising from root-finding problems / Luca Gemignani -- Completions of triangular matrices: a survey of results and open problems / Leiba Rodman -- Positive representation formulas for finite difference discretizations of (elliptic) second order PDEs / S. Serra Capizzano and C. Tablino Possio -- On some problems involving invariant norms and Hadamard products / Paolo Tilli -- A generalization of the Perron-Frobenius theorem for non-linear perturbations of Stiltjes matrices / Y. S. Choi, I. Koltracht and P. J. McKenna -- The rhombus matrix: definition and properties / 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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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