Optimization and Dynamical Systems (Communications and Control Engineering) （1994. Corr. 2nd Printing）

Helmke, Uwe/ Moore, John B.

Springer-Verlag Berlin and Heidelberg GmbH & Co. K（1993/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 416 p.
• 言語 ENG
• 商品コード 9783540198574
• DDC分類 515.352

Full Description

The authors address both classical and previously unsolved optimization tasks in algebra, linear systems theory, control theory and signal processing. Exploiting a dynamical systems approach for tackling a wide class of constrained optimization tasks. This publication will be of interest to engineers and mathematicians. Engineers will learn the mathematics and the technical approach necessary to solve a wide class of constrained optimization tasks. Mathematicians will see how techniques from global analysis and differential geometry can be developed to achieve useful construction procedures for optimization on manifolds.

Contents

Contents: Matrix Eigenvalue Methods.- Double Bracket Isospectral Flows.- Singular Value Decomposition.- Linear Programming.- Approximation and Control.- Balanced Matrix Factorizations.- Invariant Theory and System Balancing.- Balancing via Gradient Flows.- Sensitivity Optimization.- Linear Algebra.- Dynamical Systems.- Global Analysis.