Generalized Schur Methods With Condition Estimators For Solving The Generalized Sylvester Equation
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Author |
: Bo Kågström |
Publisher |
: |
Total Pages |
: 58 |
Release |
: 1987 |
ISBN-10 |
: OCLC:185866098 |
ISBN-13 |
: |
Rating |
: 4/5 (98 Downloads) |
Synopsis Generalized Schur Methods with Condition Estimators for Solving the Generalized Sylvester Equation by : Bo Kågström
Author |
: B. Kägström |
Publisher |
: |
Total Pages |
: 29 |
Release |
: 1987 |
ISBN-10 |
: OCLC:897685872 |
ISBN-13 |
: |
Rating |
: 4/5 (72 Downloads) |
Synopsis Generalized Schur Methods with Condition Estimators for Solving the Generalized Sylvester Equation AR-LB by : B. Kägström
Author |
: Guang-Ren Duan |
Publisher |
: CRC Press |
Total Pages |
: 457 |
Release |
: 2015-06-09 |
ISBN-10 |
: 9781482243987 |
ISBN-13 |
: 1482243989 |
Rating |
: 4/5 (87 Downloads) |
Synopsis Generalized Sylvester Equations by : Guang-Ren Duan
Provides One Unified Formula That Gives Solutions to Several Types of GSEsGeneralized Sylvester equations (GSEs) are applied in many fields, including applied mathematics, systems and control, and signal processing. Generalized Sylvester Equations: Unified Parametric Solutions presents a unified parametric approach for solving various types of GSEs
Author |
: Gene H. Golub |
Publisher |
: JHU Press |
Total Pages |
: 781 |
Release |
: 2013-02-15 |
ISBN-10 |
: 9781421408590 |
ISBN-13 |
: 1421408597 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Matrix Computations by : Gene H. Golub
A comprehensive treatment of numerical linear algebra from the standpoint of both theory and practice. The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this book to be an indispensible tool. This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on • fast transforms • parallel LU • discrete Poisson solvers • pseudospectra • structured linear equation problems • structured eigenvalue problems • large-scale SVD methods • polynomial eigenvalue problems Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software. The second most cited math book of 2012 according to MathSciNet, the book has placed in the top 10 for since 2005.
Author |
: Biswa Datta |
Publisher |
: Academic Press |
Total Pages |
: 737 |
Release |
: 2004 |
ISBN-10 |
: 9780122035906 |
ISBN-13 |
: 0122035909 |
Rating |
: 4/5 (06 Downloads) |
Synopsis Numerical Methods for Linear Control Systems by : Biswa Datta
Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions Background material in linear algebra, numerical linear algebra, and control theory included in text Step-by-step explanations of the algorithms and examples
Author |
: Daniel Kressner |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 272 |
Release |
: 2006-01-20 |
ISBN-10 |
: 9783540285021 |
ISBN-13 |
: 3540285024 |
Rating |
: 4/5 (21 Downloads) |
Synopsis Numerical Methods for General and Structured Eigenvalue Problems by : Daniel Kressner
This book is about computing eigenvalues, eigenvectors, and invariant subspaces of matrices. Treatment includes generalized and structured eigenvalue problems and all vital aspects of eigenvalue computations. A unique feature is the detailed treatment of structured eigenvalue problems, providing insight on accuracy and efficiency gains to be expected from algorithms that take the structure of a matrix into account.
Author |
: Petko H Petkov |
Publisher |
: World Scientific |
Total Pages |
: 657 |
Release |
: 2024-05-24 |
ISBN-10 |
: 9789811286469 |
ISBN-13 |
: 9811286469 |
Rating |
: 4/5 (69 Downloads) |
Synopsis The Numerical Jordan Form by : Petko H Petkov
The Numerical Jordan Form is the first book dedicated to exploring the algorithmic and computational methods for determining the Jordan form of a matrix, as well as addressing the numerical difficulties in finding it. Unlike the 'pure' Jordan form, the numerical Jordan form preserves its structure under small perturbations of the matrix elements so that its determination presents a well-posed computational problem. If this structure is well conditioned, it can be determined reliably in the presence of uncertainties and rounding errors.This book addresses the form's application in solving some important problems such as the estimation of eigenvalue sensitivity and computing the matrix exponential. Special attention is paid to the Jordan-Schur form of a matrix which, the author suggests, is not exploited sufficiently in the area of matrix computations. Since the mathematical objects under consideration can be sensitive to changes in the elements of the given matrix, the book also investigates the perturbation analysis of eigenvalues and invariant subspaces. This study is supplemented by a collection over 100 M-files suitable for MATLAB in order to implement the state-of-the art algorithms presented in the book for reducing a square matrix into the numerical Jordan form.Researchers in the fields of numerical analysis and matrix computations and any scientists who utilise matrices in their work will find this book a useful resource, and it is also a suitable reference book for graduate and advance undergraduate courses in this subject area.
Author |
: V. A. Barker |
Publisher |
: SIAM |
Total Pages |
: 276 |
Release |
: 2001-01-01 |
ISBN-10 |
: 0898718201 |
ISBN-13 |
: 9780898718201 |
Rating |
: 4/5 (01 Downloads) |
Synopsis LAPACK95 Users' Guide by : V. A. Barker
LAPACK95 is a Fortran 95 interface to the Fortran 77 LAPACK library. It is relevant for anyone who writes in the Fortran 95 language and needs reliable software for basic numerical linear algebra. It improves upon the original user-interface to the LAPACK package, taking advantage of the considerable simplifications that Fortran 95 allows. LAPACK95 Users' Guide provides an introduction to the design of the LAPACK95 package, a detailed description of its contents, reference manuals for the leading comments of the routines, and example programs.
Author |
: E. Anderson |
Publisher |
: SIAM |
Total Pages |
: 428 |
Release |
: 1999-01-01 |
ISBN-10 |
: 0898719607 |
ISBN-13 |
: 9780898719604 |
Rating |
: 4/5 (07 Downloads) |
Synopsis LAPACK Users' Guide by : E. Anderson
LAPACK is a library of numerical linear algebra subroutines designed for high performance on workstations, vector computers, and shared memory multiprocessors. Release 3.0 of LAPACK introduces new routines and extends the functionality of existing routines.
Author |
: David S. Watkins |
Publisher |
: SIAM |
Total Pages |
: 452 |
Release |
: 2007-01-01 |
ISBN-10 |
: 0898717809 |
ISBN-13 |
: 9780898717808 |
Rating |
: 4/5 (09 Downloads) |
Synopsis The Matrix Eigenvalue Problem by : David S. Watkins
The first in-depth, complete, and unified theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems: QR-like algorithms for dense problems and Krylov subspace methods for sparse problems. The author discusses the theory of the generic GR algorithm, including special cases (for example, QR, SR, HR), and the development of Krylov subspace methods. This book also addresses a generic Krylov process and the Arnoldi and various Lanczos algorithms, which are obtained as special cases. Theoretical and computational exercises guide students, step by step, to the results. Downloadable MATLAB programs, compiled by the author, are available on a supplementary Web site. Readers of this book are expected to be familiar with the basic ideas of linear algebra and to have had some experience with matrix computations. Ideal for graduate students, or as a reference book for researchers and users of eigenvalue codes.