Perturbation Theory for Matrix Equations (Studies in Computational Mathematics)

Perturbation Theory for Matrix Equations (Studies in Computational Mathematics)

Editorial Reviews
Review
"The book is a valuable addition to the literature. It offers a unique perspective, concise and systematic development of pertubation analysis of matrix equations, and a wealth of material on the topic."
L. Rodman (Williamsburg),in: (Zentralblatt für Mathematik, p.2, Vol. 1025, 2004)

Book Description
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.

Key features:

• The first book in this field

• Can be used by a variety of specialists

• Material is self-contained

• Results can be used in the development of reliable computational algorithms

• A large number of examples and graphical illustrations are given

• Written by prominent specialists in the field

Perturbation Theory for Matrix Equations (Studies in Computational Mathematics)

Perturbation Theory for Matrix Equations (Studies in Computational Mathematics),M. Konstantinov,D. Wei Gu,V. Mehrmann,P. Petkov,JAI Press,0444513159,Algebra - Linear,Applied,Differential Equations,General,Mathematics,Matrices,Perturbation (Mathematics),Science/Mathematics,Mathematics / Applied

Books Info:

1. Qualitative Methods in Nonlinear Dynamics (Pure and Applied Mathematics (Marcel Dekker))
2. Random Matrix Models and Their Applications
3. Second Order Elliptic Integro-Differential Problems
4. Shear Deformable Beams and Plates
5. Signals and Systems in Biomedical Engineering : Signal Processing and Physiological Systems Modeling (Topics in Biomedical Engineering)
6. Singularity Theory: Proceedings of the European Singularities Conference, August 1996, Liverpool
7. Singular Partial Differential Equations
8. Special Functions (Encyclopedia of Mathematics and its Applications)
9. Statistical Process Control: The Deming Paradigm and Beyond, Second Edition
10. Stochastic Dynamical Systems : Concepts, Numerical Methods, Data Analysis

Books Info

Recommended Books

1. American Architecture since 1780: A Guide to the Styles
2. UN Studio: UNFOLD
3. Pocket Poets Keats
4. Non-Linear Time Series Models in Empirical Finance
5. Self-Assessment Library, The: Insights Into Your Skills, Abilities and Interests
6. Progress in Temperate Fruit Breeding
7. Quantitative Structure-Activity Relationship
8. Semiconductor Spintronics and Quantum Computation
9. The Da Vinci Legacy
10. The Gorrideon
11. The Aquarium Fish Survival Manual
12. Ready-to-Use Decorative Celtic Alphabets
13. The Good, the Bad & the Mad: Weird People in American History
14. Should We Risk It
15. The 7 Laws of the Golf Swing