02602nam 22004093u 450 991078865550332120220822051820.00-8218-7871-90-8218-2092-3(CKB)3240000000069807(EBL)3112998(MiAaPQ)EBC3112998(RPAM)12432479(PPN)197106072(EXLCZ)99324000000006980720151005d2001|||| u|| |engur|n|---|||||Structured Matrices in Mathematics, Computer Science, and Engineering[electronic resource]Providence American Mathematical Society20011 online resource (362 p.)Contemporary mathematics,2810271-4132Description based upon print version of record.Includes bibliographical references.Contents -- Foreword -- Part V. Fast Algorithms -- 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 -- Part VI. Numerical Issues -- 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 -- Part VII. Iterative Methods. Preconditioners -- A survey of preconditioners for ill-conditioned Toeplitz systems -- Preconditioning of Hermitian block "Toeplitz-Toeplitz" block matrices by level-1 preconditioners -- Part VIII. Linear Algebra and Various Applications -- A generalization of the Perron-Frobenius theorem for non-linear perturbations of Stiltjes matrices -- The rhombus matrix: Definition and properties.Contemporary mathematics (American Mathematical Society).0271-4132Matrices -- CongressesMatrices -- Congresses.512.9/434Olshevsky Vadim861940AU-PeELAU-PeELAU-PeELBOOK9910788655503321Structured Matrices in Mathematics, Computer Science, and Engineering3823303UNINA