【2015新书】 Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory

Book 图书名称： Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory
Author 作者： Peter Benner, Matthias Bollhöfer, Daniel Kressner, Christian Mehl, Tatjana Stykel
Publisher 出版社： Springer
Page 页数：608
Publishing Date 出版时间：May 9, 2015
Language 语言：English
Size 大小：8 MB
Format 格式：pdf文字版
ISBN: 3319152599, 9783319152592, 19783319152608
Edition: 第1版 搜索过论坛，没有该文档


Festschrift for outstanding researcher
Discussion of selected topics of applied mathematics by unique selection of international experts
Summaries of particular theories and algorithms and discussion of their development as well as the state-of-the-art

This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory. These mathematical research areas are strongly related and often occur in the same real-world applications. The main areas where such applications emerge are computational engineering and sciences, but increasingly also social sciences and economics.

This book also reflects some of Volker Mehrmann's major career stages. Starting out working in the areas of numerical linear algebra (his first full professorship at TU Chemnitz was in "Numerical Algebra," hence the title of the book) and matrix theory, Volker Mehrmann has made significant contributions to these areas ever since. The highlights of these are discussed in Parts I and II of the present book. Often the development of new algorithms in numerical linear algebra is motivated by problems in system and control theory. These and his later major work on differential-algebraic equations, to which he together with Peter Kunkel made many groundbreaking contributions, are the topic of the chapters in Part III.

Besides providing a scientific discussion of Volker Mehrmann's work and its impact on the development of several areas of applied mathematics, the individual chapters stand on their own as reference works for selected topics in the fields of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.

Related Subjects: Numerical Analysis, Computational Science and Engineering, Linear and Multilinear Algebras, Matrix Theory, Ordinary Differential Equations, Systems Theory, Control.

== Table of contents ==
Table of contents :
Part I Numerical Algebra

1 Breaking Van Loan's Curse: A Quest for Structure-Preserving Algorithms for Dense Structured Eigenvalue Problems
2 Large-Scale Structured Eigenvalue Problems
3 Palindromic Eigenvalue Problems in Applications
4 Theory and Numerical Solution of Differential and Algebraic Riccati Equations
5 Permuted Graph Matrices and Their Applications
6 Canonical Forms of Structured Matrices and Pencils
7 Perturbation Analysis of Matrix Equations and Decompositions
8 Structured Eigenvalue Perturbation Theory
9 A Story on Adaptive Finite Element Computations for Elliptic Eigenvalue Problems
10 Algebraic Preconditioning Approaches and Their Applications
Part II Matrix Theory

11 Continuous Matrix Factorizations
12 Polynomial Eigenvalue Problems: Theory, Computation, and Structure
13 Stability in Matrix Analysis Problems
14 Low-Rank Approximation of Tensors

Part III Differential-Algebraic Equations and Control Theory

15 Regularization of Descriptor Systems
16 Differential-Algebraic Equations: Theory and Simulation
17 DAEs in Applications
18 A Condensed Form for Nonlinear Differential-Algebraic Equations in Circuit Theory
19 Spectrum-Based Robust Stability Analysis of Linear Delay Differential-Algebraic Equations
20 Distance Problems for Linear Dynamical Systems
21 Discrete Input/Output Maps and their Relation to Proper Orthogonal Decomposition


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