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Autor Vadim Olshevsky |
Documentos disponibles escritos por este autor (3)
Refinar búsquedaConvolution Equations and Singular Integral Operators / SpringerLink (Online service) ; Leonid Lerer ; Vadim Olshevsky ; Ilya M. Spitkovsky (2010)
Título : Convolution Equations and Singular Integral Operators : Selected Papers of Israel Gohberg and Georg Heinig Israel Gohberg and Nahum Krupnik Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Leonid Lerer ; Vadim Olshevsky ; Ilya M. Spitkovsky Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications num. 206 Número de páginas: 240p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8956-7 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Operator theory Theory Equations Clasificación: 51 Matemáticas Resumen: This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their importance and growing in?uence in pure and applied mathematics and engineering. The book is divided into two parts. The ?rst ?ve papers, written by I. Gohberg and G. Heinig, form the ?rst part. They are related to the inversion of ?nite block Toeplitz matrices and their continuous analogs (direct and inverse problems) and the theory of discrete and continuous resultants. The second part consists of eight papers by I. Gohberg and N. Krupnik. They are devoted to the theory of one dimensional singular integral operators with discontinuous co- cients on various spaces. Special attention is paid to localization theory, structure of the symbol, and equations with shifts. ThisbookgivesanEnglishspeakingreaderauniqueopportunitytogetfam- iarized with groundbreaking work on the theory of Toepliz matrices and singular integral operators which by now have become classical. In the process of the preparation of the book the translator and the editors took care of several misprints and unessential misstatements. The editors would like to thank the translator A. Karlovich for the thorough job he has done. Our work on this book was started when Israel Gohberg was still alive. We see this book as our tribute to a great mathematician Nota de contenido: Inversion of Finite Toeplitz Matrices -- Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra -- Matrix Integral Operators on a Finite Interval with Kernels Depending on the Difference of the Arguments -- The Resultant Matrix and its Generalizations. I. The Resultant Operator for Matrix Polynomials -- The Resultant Matrix and its Generalizations. II. The Continual Analogue of the Resultant Operator -- The Spectrum of Singular Integral Operators in L p Spaces -- On an Algebra Generated by the Toeplitz Matrices in the Spaces h p -- On Singular Integral Equations with Unbounded Coefficients -- Singular Integral Equations with Continuous Coefficients on a Composed Contour -- On a Local Principle and Algebras Generated by Toeplitz Matrices -- The Symbol of Singular Integral Operators on a Composed Contour -- One-dimensional Singular Integral Operators with Shift -- Algebras of Singular Integral Operators with Shift En línea: http://dx.doi.org/10.1007/978-3-7643-8956-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33778 Convolution Equations and Singular Integral Operators : Selected Papers of Israel Gohberg and Georg Heinig Israel Gohberg and Nahum Krupnik [documento electrónico] / SpringerLink (Online service) ; Leonid Lerer ; Vadim Olshevsky ; Ilya M. Spitkovsky . - Basel : Birkhäuser Basel, 2010 . - 240p : online resource. - (Operator Theory: Advances and Applications; 206) .
ISBN : 978-3-7643-8956-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Operator theory Theory Equations Clasificación: 51 Matemáticas Resumen: This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their importance and growing in?uence in pure and applied mathematics and engineering. The book is divided into two parts. The ?rst ?ve papers, written by I. Gohberg and G. Heinig, form the ?rst part. They are related to the inversion of ?nite block Toeplitz matrices and their continuous analogs (direct and inverse problems) and the theory of discrete and continuous resultants. The second part consists of eight papers by I. Gohberg and N. Krupnik. They are devoted to the theory of one dimensional singular integral operators with discontinuous co- cients on various spaces. Special attention is paid to localization theory, structure of the symbol, and equations with shifts. ThisbookgivesanEnglishspeakingreaderauniqueopportunitytogetfam- iarized with groundbreaking work on the theory of Toepliz matrices and singular integral operators which by now have become classical. In the process of the preparation of the book the translator and the editors took care of several misprints and unessential misstatements. The editors would like to thank the translator A. Karlovich for the thorough job he has done. Our work on this book was started when Israel Gohberg was still alive. We see this book as our tribute to a great mathematician Nota de contenido: Inversion of Finite Toeplitz Matrices -- Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra -- Matrix Integral Operators on a Finite Interval with Kernels Depending on the Difference of the Arguments -- The Resultant Matrix and its Generalizations. I. The Resultant Operator for Matrix Polynomials -- The Resultant Matrix and its Generalizations. II. The Continual Analogue of the Resultant Operator -- The Spectrum of Singular Integral Operators in L p Spaces -- On an Algebra Generated by the Toeplitz Matrices in the Spaces h p -- On Singular Integral Equations with Unbounded Coefficients -- Singular Integral Equations with Continuous Coefficients on a Composed Contour -- On a Local Principle and Algebras Generated by Toeplitz Matrices -- The Symbol of Singular Integral Operators on a Composed Contour -- One-dimensional Singular Integral Operators with Shift -- Algebras of Singular Integral Operators with Shift En línea: http://dx.doi.org/10.1007/978-3-7643-8956-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33778 Ejemplares
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Título : Numerical Methods for Structured Matrices and Applications : The Georg Heinig Memorial Volume Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Dario Andrea Bini ; Volker Mehrmann ; Vadim Olshevsky ; Eugene E. Tyrtyshnikov ; Marc van Barel Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Operator Theory: Advances and Applications num. 199 Número de páginas: VIII, 439 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8996-3 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Operator theory Numerical Analysis Theory Clasificación: 51 Matemáticas Nota de contenido: Georg Heinig -- Georg Heinig (1947—2005) In Memoriam -- Georg Heinig November 24, 1947 - May 10, 2005 A Personal Memoir and Appreciation -- to Bezoutians -- On Matrices that are not Similar to a Toeplitz Matrix and a Family of Polynomials Tewodros Amdeberhan and Georg Heinig -- Research Contributions -- A Traub-like Algorithm for Hessenbergquasiseparable- Vandermonde Matrices of Arbitrary Order -- A Fast Algorithm for Approximate Polynomial GCD Based on Structured Matrix Computations -- On Inertia of Some Structured Hermitian Matrices -- Variable-coefficient Toeplitz Matrices with Symbols beyond the Wiener Algebra -- A Priori Estimates on the Structured Conditioning of Cauchy and Vandermonde Matrices -- Factorizations of Totally Negative Matrices -- QR-factorization of Displacement Structured Matrices Using a Rank Structured Matrix Approach -- Bezoutians Applied to Least Squares Approximation of Rational Functions -- On the Weyl Matrix Balls Corresponding to the Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases -- On Extremal Problems of Interpolation Theory with Unique Solution -- O(n) Algorithms for Banded Plus Semiseparable Matrices -- Unified Nearly Optimal Algorithms for Structured Integer Matrices -- V-cycle Optimal Convergence for DCT-III Matrices -- The Ratio Between the Toeplitz and the Unstructured Condition Number -- A New Algorithm for Finding Positive Eigenvectors for a Class of Nonlinear Operators Associated with M-matrices -- Hankel Minors and Pade Approximations En línea: http://dx.doi.org/10.1007/978-3-7643-8996-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33779 Numerical Methods for Structured Matrices and Applications : The Georg Heinig Memorial Volume [documento electrónico] / SpringerLink (Online service) ; Dario Andrea Bini ; Volker Mehrmann ; Vadim Olshevsky ; Eugene E. Tyrtyshnikov ; Marc van Barel . - Basel : Birkhäuser Basel, 2010 . - VIII, 439 p : online resource. - (Operator Theory: Advances and Applications; 199) .
ISBN : 978-3-7643-8996-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Operator theory Numerical Analysis Theory Clasificación: 51 Matemáticas Nota de contenido: Georg Heinig -- Georg Heinig (1947—2005) In Memoriam -- Georg Heinig November 24, 1947 - May 10, 2005 A Personal Memoir and Appreciation -- to Bezoutians -- On Matrices that are not Similar to a Toeplitz Matrix and a Family of Polynomials Tewodros Amdeberhan and Georg Heinig -- Research Contributions -- A Traub-like Algorithm for Hessenbergquasiseparable- Vandermonde Matrices of Arbitrary Order -- A Fast Algorithm for Approximate Polynomial GCD Based on Structured Matrix Computations -- On Inertia of Some Structured Hermitian Matrices -- Variable-coefficient Toeplitz Matrices with Symbols beyond the Wiener Algebra -- A Priori Estimates on the Structured Conditioning of Cauchy and Vandermonde Matrices -- Factorizations of Totally Negative Matrices -- QR-factorization of Displacement Structured Matrices Using a Rank Structured Matrix Approach -- Bezoutians Applied to Least Squares Approximation of Rational Functions -- On the Weyl Matrix Balls Corresponding to the Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases -- On Extremal Problems of Interpolation Theory with Unique Solution -- O(n) Algorithms for Banded Plus Semiseparable Matrices -- Unified Nearly Optimal Algorithms for Structured Integer Matrices -- V-cycle Optimal Convergence for DCT-III Matrices -- The Ratio Between the Toeplitz and the Unstructured Condition Number -- A New Algorithm for Finding Positive Eigenvectors for a Class of Nonlinear Operators Associated with M-matrices -- Hankel Minors and Pade Approximations En línea: http://dx.doi.org/10.1007/978-3-7643-8996-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33779 Ejemplares
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Título : Recent Advances in Matrix and Operator Theory Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Joseph A. Ball ; Yuli Eidelman ; J. William Helton ; Vadim Olshevsky ; James Rovnyak Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Operator Theory: Advances and Applications num. 179 Número de páginas: VII, 340 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8539-2 Idioma : Inglés (eng) Palabras clave: Mathematics Matrix theory Algebra Functional analysis Operator Physics Analysis Theory Linear and Multilinear Algebras, Mathematical Methods in Clasificación: 51 Matemáticas Resumen: This book expands the lectures given at IWOTA’05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 24–27, 2005. Many developments on the cutting edge of research in operator theory, matrix theory, coding theory, system theory, control theory and numerical linear algebra are reflected in this collection of original articles. The volume is of a cross-disciplinary nature. A number of papers are devoted to the analysis and algorithms for matrices with quasiseparable structure which is an active area of concurrent research in numerical linear algebra Nota de contenido: Inverse Problems for First-Order Discrete Systems -- Stability of Dynamical Systems via Semidefinite Programming -- Ranks of Hadamard Matrices and Equivalence of Sylvester—Hadamard and Pseudo-Noise Matrices -- Image of a Jacobi Field -- The Higher Order Carathéodory—Julia Theorem and Related Boundary Interpolation Problems -- A Generalization to Ordered Groups of a Kre?n Theorem -- A Fast QR Algorithm for Companion Matrices -- The Numerical Range of a Class of Self-adjoint Operator Functions -- A Perturbative Analysis of the Reduction into Diagonal-plus-semiseparable Form of Symmetric Matrices -- The Eigenstructure of Complex Symmetric Operators -- Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces -- On an Eigenvalue Problem for Some Nonlinear Transformations of Multi-dimensional Arrays -- On Embedding of the Bratteli Diagram into a Surface -- Superfast Inversion of Two-Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Structure -- On Generalized Numerical Ranges of Quadratic Operators -- Inverse Problems for Canonical Differential Equations with Singularities -- On Triangular Factorization of Positive Operators -- Solutions for the H ?(Dn) Corona Problem Belonging to exp(L1/2n-1 -- A Matrix and its Inverse: Revisiting Minimal Rank Completions En línea: http://dx.doi.org/10.1007/978-3-7643-8539-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34394 Recent Advances in Matrix and Operator Theory [documento electrónico] / SpringerLink (Online service) ; Joseph A. Ball ; Yuli Eidelman ; J. William Helton ; Vadim Olshevsky ; James Rovnyak . - Basel : Birkhäuser Basel, 2008 . - VII, 340 p : online resource. - (Operator Theory: Advances and Applications; 179) .
ISBN : 978-3-7643-8539-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Matrix theory Algebra Functional analysis Operator Physics Analysis Theory Linear and Multilinear Algebras, Mathematical Methods in Clasificación: 51 Matemáticas Resumen: This book expands the lectures given at IWOTA’05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 24–27, 2005. Many developments on the cutting edge of research in operator theory, matrix theory, coding theory, system theory, control theory and numerical linear algebra are reflected in this collection of original articles. The volume is of a cross-disciplinary nature. A number of papers are devoted to the analysis and algorithms for matrices with quasiseparable structure which is an active area of concurrent research in numerical linear algebra Nota de contenido: Inverse Problems for First-Order Discrete Systems -- Stability of Dynamical Systems via Semidefinite Programming -- Ranks of Hadamard Matrices and Equivalence of Sylvester—Hadamard and Pseudo-Noise Matrices -- Image of a Jacobi Field -- The Higher Order Carathéodory—Julia Theorem and Related Boundary Interpolation Problems -- A Generalization to Ordered Groups of a Kre?n Theorem -- A Fast QR Algorithm for Companion Matrices -- The Numerical Range of a Class of Self-adjoint Operator Functions -- A Perturbative Analysis of the Reduction into Diagonal-plus-semiseparable Form of Symmetric Matrices -- The Eigenstructure of Complex Symmetric Operators -- Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces -- On an Eigenvalue Problem for Some Nonlinear Transformations of Multi-dimensional Arrays -- On Embedding of the Bratteli Diagram into a Surface -- Superfast Inversion of Two-Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Structure -- On Generalized Numerical Ranges of Quadratic Operators -- Inverse Problems for Canonical Differential Equations with Singularities -- On Triangular Factorization of Positive Operators -- Solutions for the H ?(Dn) Corona Problem Belonging to exp(L1/2n-1 -- A Matrix and its Inverse: Revisiting Minimal Rank Completions En línea: http://dx.doi.org/10.1007/978-3-7643-8539-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34394 Ejemplares
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