LEADER 02602nam 22004093u 450 001 9910788655503321 005 20220822051820.0 010 $a0-8218-7871-9 010 $a0-8218-2092-3 035 $a(CKB)3240000000069807 035 $a(EBL)3112998 035 $a(MiAaPQ)EBC3112998 035 $a(RPAM)12432479 035 $a(PPN)197106072 035 $a(EXLCZ)993240000000069807 100 $a20151005d2001|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 200 10$aStructured Matrices in Mathematics, Computer Science, and Engineering$b[electronic resource] 210 $aProvidence $cAmerican Mathematical Society$d2001 215 $a1 online resource (362 p.) 225 1 $aContemporary mathematics,$v281$x0271-4132 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references. 327 $aContents -- Foreword -- Part V. Fast Algorithms -- The Schur algorithm for matrices with Hessenberg displacement structure -- Fast inversion algorithms for a class of block structured matrices -- A fast and stable solver for recursively semi-separable systems of linear equations -- Part VI. Numerical Issues -- Stability properties of several variants of the unitary Hessenberg QR algorithm -- Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems -- Stability of Toeplitz matrix inversion formulas -- Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices -- Updating and downdating of orthonormal polynomial vectors and some applications -- Rank-revealing decompositions of symmetric Toeplitz matrices -- Part VII. Iterative Methods. Preconditioners -- A survey of preconditioners for ill-conditioned Toeplitz systems -- Preconditioning of Hermitian block "Toeplitz-Toeplitz" block matrices by level-1 preconditioners -- Part VIII. Linear Algebra and Various Applications -- A generalization of the Perron-Frobenius theorem for non-linear perturbations of Stiltjes matrices -- The rhombus matrix: Definition and properties. 410 0$aContemporary mathematics (American Mathematical Society).$x0271-4132 606 $aMatrices -- Congresses 615 4$aMatrices -- Congresses. 676 $a512.9/434 700 $aOlshevsky$b Vadim$0861940 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910788655503321 996 $aStructured Matrices in Mathematics, Computer Science, and Engineering$93823303 997 $aUNINA