Kids Library Home

Welcome to the Kids' Library!

Search for books, movies, music, magazines, and more.

     
Available items only
E-Book/E-Doc

Title Perturbation theory for matrix equations / Mihail Konstantinov [and others].

Imprint Amsterdam ; Boston : Elsevier, 2003.

Copies

Location Call No. OPAC Message Status
 Axe Elsevier ScienceDirect Ebook  Electronic Book    ---  Available
Edition 1st ed.
Description 1 online resource (xii, 429 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file
Series Studies in computational mathematics, 1570-579X ; 9
Studies in computational mathematics ; 9. 1570-579X
Summary The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds.
Bibliography Includes bibliographical references and index.
Contents Introduction -- Perturbation problems -- Problems with explicit solutions -- Problems with implicit solutions -- Lyapunov majorants -- Singular problems -- Perturbation bounds -- General Sylvester equations -- Specific Sylvester equations -- General Lyapunov equations -- Lyapunov equations in control theory -- General quadratic equations -- Continuous-time Riccati equations -- Coupled Riccati equations -- General fractional-affine equations -- Symmetric fractional-affine equations -- Appendix A: Elements of algebra and analysis -- Appendix B: Unitary and orthogonal decompositions -- Appendix C: Kronecker product of metrices -- Appendix D: Fixed point principles -- Appendix E: Sylvester operators -- Appendix F: Lyapunov operators -- Appendix G: Lyapunov-like operators -- Appendix H: Notation.
Note Print version record.
Language English.
Subject Perturbation (Mathematics)
Matrices.
Perturbation (Mathématiques)
Matrices.
MATHEMATICS -- Differential Equations -- General.
Matrices
Perturbation (Mathematics)
Matrizes (álgebra)
Equações não lineares.
Added Author Konstantinov, M. M. (Mihail M.), 1948-
Other Form: Print version: Perturbation theory for matrix equations. 1st ed. Amsterdam ; Boston : Elsevier, 2003 0444513159 9780444513151 (DLC) 2003053106 (OCoLC)52258082
ISBN 9780444513151
0444513159
0080538673 (electronic bk.)
9780080538679 (electronic bk.)
1281048720
9781281048721
9786611048723
6611048723
Standard No. AU@ 000048129849
AU@ 000062578928
CHNEW 001006605
DEBBG BV036962337
DEBBG BV039830205
DEBBG BV042317338
DEBSZ 276815599
DEBSZ 482355565
NZ1 12433585
NZ1 15192895

 
    
Available items only