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Fast algorithms for structured matrices : [electronic resource] theory and applications : AMS-IMS-SIAM Joint Summer Research Conference on Fast Algorithms in Mathematics, Computer Science, and Engineering, August 5-9, 2001, Mount Holyoke College, South Hadley, Massachusetts / Vadim Olshevsky, editor.

By: AMS-IMS-SIAM Joint Summer Research Conference on Fast Algorithms in Mathematics, Computer Science, and Engineering (2001 : Mount Holyoke College)Contributor(s): Olshevsky, Vadim, 1961-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 323.Publication details: Providence, R.I. : Philadelphia, PA : American Mathematical Society ; Society for Industrial and Applied Mathematics, c2003Description: 1 online resource (viii, 433 p. : ill.)ISBN: 9780821879139 (online)Subject(s): Matrices -- Congresses | Fourier transformations -- Congresses | Algorithms -- CongressesAdditional physical formats: Fast algorithms for structured matrices :DDC classification: 512.9/434 LOC classification: QA188 | .A47 2001Online resources: Contents | Contents

Contents:

Pivoting for structured matrices and rational tangential interpolation / Vadim Olshevsky -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05696 Inversion of Toeplitz-plus-Hankel matrices with arbitrary rank profile / Georg Heinig -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05697 A Lanczos-type algorithm for the QR factorization of Cauchy-like matrices / Dario Fasino and Luca Gemignani -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05698 Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form / Dario Fasino, Nicola Mastronardi and Marc Van Barel -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05699 A comrade-matrix-based derivation of the eight versions of fast cosine and sine transforms / Alexander Olshevsky, Vadim Olshevsky and Jun Wang -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05700 Solving certain matrix equations by means of Toeplitz computations: algorithms and applications / Dario A. Bini, Luca Gemignani and Beatrice Meini -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05701 A fast singular value algorithm for Hankel matrices / Franklin T. Luk and Sanzheng Qiao -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05702 A modified companion matrix method based on Newton polynomials / D. Calvetti, L. Reichel and F. Sgallari -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05703 A fast direct method for solving the two-dimensional Helmholtz equation, with Robbins boundary conditions / Jef Hendrickx, Raf Vandebril and Marc Van Barel -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05704 Structured matrices in unconstrained minimization methods / Carmine Di Fiore -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05705 Computation of minimal state space realizations in Jacobson normal form / Naoharu Ito, Wiland Schmale and Harald K. Wimmer -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05706 High order accurate particular solutions of the biharmonic equation on general regions / Anita Mayo -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05707 A fast projected conjugate gradient algorithm for training support vector machines / Tong Wen, Alan Edelman and David Gorsich -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05708 A displacement approach to decoding algebraic codes / V. Olshevsky and M. Amin Shokrollahi -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05709 Some convergence estimates for algebraic multilevel preconditioners / Matthias Bollh�ofer and Volker Mehrmann -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05710 Spectral equivalence and matrix algebra preconditioners for multilevel Toeplitz systems: a negative result / D. Noutsos, S. Serra Capizzano and P. Vassalos -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05711 Spectral distribution of Hermitian Toeplitz matrices formally generated by rational functions / William F. Trench -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05712 From Toeplitz matrix sequences to zero distribution of orthogonal polynomials / Dario Fasino and Stefano Serra Capizzano -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05713 On Lie algebras, submanifolds and structured matrices / Kenneth R. Driessel -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05714 Riccati equations and bitangential interpolation problems with singular Pick matrices / Harry Dym -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05715 Functions with Pick matrices having bounded number of negative eigenvalues / V. Bolotnikov, A. Kheifets and L. Rodman -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05716 One-dimensional perturbations of selfadjoint operators with finite or discrete spectrum / Yu. M. Arlinski�i, S. Hassi, H. S. V. de Snoo and E. R. Tsekanovski�i -- http://www.ams.org/conm/323/ http://dx.doi.org/10.1090/conm/323/05717

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Includes bibliographical references.

Pivoting for structured matrices and rational tangential interpolation / Vadim Olshevsky -- Inversion of Toeplitz-plus-Hankel matrices with arbitrary rank profile / Georg Heinig -- A Lanczos-type algorithm for the QR factorization of Cauchy-like matrices / Dario Fasino and Luca Gemignani -- Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form / Dario Fasino, Nicola Mastronardi and Marc Van Barel -- A comrade-matrix-based derivation of the eight versions of fast cosine and sine transforms / Alexander Olshevsky, Vadim Olshevsky and Jun Wang -- Solving certain matrix equations by means of Toeplitz computations: algorithms and applications / Dario A. Bini, Luca Gemignani and Beatrice Meini -- A fast singular value algorithm for Hankel matrices / Franklin T. Luk and Sanzheng Qiao -- A modified companion matrix method based on Newton polynomials / D. Calvetti, L. Reichel and F. Sgallari -- A fast direct method for solving the two-dimensional Helmholtz equation, with Robbins boundary conditions / Jef Hendrickx, Raf Vandebril and Marc Van Barel -- Structured matrices in unconstrained minimization methods / Carmine Di Fiore -- Computation of minimal state space realizations in Jacobson normal form / Naoharu Ito, Wiland Schmale and Harald K. Wimmer -- High order accurate particular solutions of the biharmonic equation on general regions / Anita Mayo -- A fast projected conjugate gradient algorithm for training support vector machines / Tong Wen, Alan Edelman and David Gorsich -- A displacement approach to decoding algebraic codes / V. Olshevsky and M. Amin Shokrollahi -- Some convergence estimates for algebraic multilevel preconditioners / Matthias Bollh�ofer and Volker Mehrmann -- Spectral equivalence and matrix algebra preconditioners for multilevel Toeplitz systems: a negative result / D. Noutsos, S. Serra Capizzano and P. Vassalos -- Spectral distribution of Hermitian Toeplitz matrices formally generated by rational functions / William F. Trench -- From Toeplitz matrix sequences to zero distribution of orthogonal polynomials / Dario Fasino and Stefano Serra Capizzano -- On Lie algebras, submanifolds and structured matrices / Kenneth R. Driessel -- Riccati equations and bitangential interpolation problems with singular Pick matrices / Harry Dym -- Functions with Pick matrices having bounded number of negative eigenvalues / V. Bolotnikov, A. Kheifets and L. Rodman -- One-dimensional perturbations of selfadjoint operators with finite or discrete spectrum / Yu. M. Arlinski�i, S. Hassi, H. S. V. de Snoo and E. R. Tsekanovski�i --