Structured Matrices in Mathematics, Computer Science, and Engineering [[electronic resource]] |
Autore | Olshevsky Vadim |
Pubbl/distr/stampa | Providence, : American Mathematical Society, 2001 |
Descrizione fisica | 1 online resource (362 p.) |
Disciplina | 512.9/434 |
Collana | Contemporary Mathematics |
Soggetto topico | Matrices -- Congresses |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-7871-9
0-8218-2092-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""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"" |
Record Nr. | UNINA-9910480214303321 |
Olshevsky Vadim
![]() |
||
Providence, : American Mathematical Society, 2001 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Structured Matrices in Mathematics, Computer Science, and Engineering [[electronic resource]] |
Autore | Olshevsky Vadim |
Pubbl/distr/stampa | Providence, : American Mathematical Society, 2001 |
Descrizione fisica | 1 online resource (346 p.) |
Disciplina | 512.9/434 |
Collana | Contemporary Mathematics |
Soggetto topico |
Matrices -- Congresses
Mathematics Physical Sciences & Mathematics Algebra |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-7870-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Systems of low Hankel rank: A survey""""Tensor approximation and signal processing applications""; ""Exploiting Toeplitz-like structure in adaptive filtering algorithms using signal flow graphs""; ""The structured total least squares problem""; ""Exploiting Toeplitz structure in atmospheric image restoration""; ""Part III. Control Theory""; ""A survey of model reduction methods for large-scale systems""; ""Theory and computations of some inverse eigenvalue problems for the quadratic pencil""; ""Partial eigenvalue assignment for large linear control systems""
""A hybrid method for the numerical solution of discrete-time algebraic Riccati equations""""Part IV. Spectral Properties. Conditioning""; ""Condition numbers of large Toeplitz-like matrices""; ""How bad are symmetric Pick matrices?""; ""Spectral properties of real Hankel matrices""; ""Conjectures and remarks on the limit of the spectral radius of nonnegative and block Toeplitz matrices"" |
Record Nr. | UNINA-9910480090903321 |
Olshevsky Vadim
![]() |
||
Providence, : American Mathematical Society, 2001 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Structured Matrices in Mathematics, Computer Science, and Engineering [[electronic resource]] |
Autore | Olshevsky Vadim |
Pubbl/distr/stampa | Providence, : American Mathematical Society, 2001 |
Descrizione fisica | 1 online resource (346 p.) |
Disciplina | 512.9/434 |
Collana | Contemporary mathematics |
Soggetto topico |
Matrices -- Congresses
Mathematics Physical Sciences & Mathematics Algebra |
ISBN | 0-8218-7870-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Systems of low Hankel rank: A survey -- Tensor approximation and signal processing applications -- Exploiting Toeplitz-like structure in adaptive filtering algorithms using signal flow graphs -- The structured total least squares problem -- Exploiting Toeplitz structure in atmospheric image restoration -- Part III. Control Theory -- A survey of model reduction methods for large-scale systems -- Theory and computations of some inverse eigenvalue problems for the quadratic pencil -- Partial eigenvalue assignment for large linear control systems -- A hybrid method for the numerical solution of discrete-time algebraic Riccati equations -- Part IV. Spectral Properties. Conditioning -- Condition numbers of large Toeplitz-like matrices -- How bad are symmetric Pick matrices? -- Spectral properties of real Hankel matrices -- Conjectures and remarks on the limit of the spectral radius of nonnegative and block Toeplitz matrices. |
Record Nr. | UNINA-9910788697603321 |
Olshevsky Vadim
![]() |
||
Providence, : American Mathematical Society, 2001 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Structured Matrices in Mathematics, Computer Science, and Engineering [[electronic resource]] |
Autore | Olshevsky Vadim |
Pubbl/distr/stampa | Providence, : American Mathematical Society, 2001 |
Descrizione fisica | 1 online resource (362 p.) |
Disciplina | 512.9/434 |
Collana | Contemporary mathematics |
Soggetto topico | Matrices -- Congresses |
ISBN |
0-8218-7871-9
0-8218-2092-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 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. |
Record Nr. | UNINA-9910788655503321 |
Olshevsky Vadim
![]() |
||
Providence, : American Mathematical Society, 2001 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|