Optimization and dynamical systems
著者
書誌事項
Optimization and dynamical systems
（Communications and control engineering）
Springer, 1996 , c1994
3rd printing
- : us
- : gw
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注記
"with foreword by Roger W. Brockett"
Includes bibliographical references and indexes
内容説明・目次
内容説明
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.
目次
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.
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