Jacobi Matrices and the Moment Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Jacobi Matrices and the Moment Problem write by Yurij M. Berezansky. This book was released on 2024-01-06. Jacobi Matrices and the Moment Problem available in PDF, EPUB and Kindle. This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for corresponding set of commuting operators plays the key role in the proof of results. The book is recommended for researchers in fields of functional analysis, operator theory, mathematical physics, and engineers who deal with problems of coupled pendulums.
Jacobi Matrices and the Moment Problem
Jacobi Matrices and the Moment Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Jacobi Matrices and the Moment Problem write by Jurij Makarovič Berezanskij. This book was released on 2023. Jacobi Matrices and the Moment Problem available in PDF, EPUB and Kindle.
Moment Problems for Jacobi Matrices and Inverse Problems for Systems of Many Coupled Oscillators
Moment Problems for Jacobi Matrices and Inverse Problems for Systems of Many Coupled Oscillators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moment Problems for Jacobi Matrices and Inverse Problems for Systems of Many Coupled Oscillators write by . This book was released on 2000. Moment Problems for Jacobi Matrices and Inverse Problems for Systems of Many Coupled Oscillators available in PDF, EPUB and Kindle.
Matrices, Moments and Quadrature with Applications
Matrices, Moments and Quadrature with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Matrices, Moments and Quadrature with Applications write by Gene H. Golub. This book was released on 2009-12-07. Matrices, Moments and Quadrature with Applications available in PDF, EPUB and Kindle. This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
Iterated Function Systems, Moments, and Transformations of Infinite Matrices
Iterated Function Systems, Moments, and Transformations of Infinite Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Iterated Function Systems, Moments, and Transformations of Infinite Matrices write by Palle E. T. Jørgensen. This book was released on 2011. Iterated Function Systems, Moments, and Transformations of Infinite Matrices available in PDF, EPUB and Kindle. The authors study the moments of equilibrium measures for iterated function systems (IFSs) and draw connections to operator theory. Their main object of study is the infinite matrix which encodes all the moment data of a Borel measure on $\mathbb{R}^d$ or $\mathbb{C}$. To encode the salient features of a given IFS into precise moment data, they establish an interdependence between IFS equilibrium measures, the encoding of the sequence of moments of these measures into operators, and a new correspondence between the IFS moments and this family of operators in Hilbert space. For a given IFS, the authors' aim is to establish a functorial correspondence in such a way that the geometric transformations of the IFS turn into transformations of moment matrices, or rather transformations of the operators that are associated with them.
