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Operator Theory, Analytic Functions, Matrices, and Electrical Engineering
J. William Helton, Charles R. Johnson, and John N. Palmer
A co-publication of the AMS and CBMS.
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CBMS Regional Conference Series in Mathematics
1987; 134 pp; softcover
Number: 68
Reprint/Revision History:
reprinted 1990
ISBN-10: 0-8218-0718-8
ISBN-13: 978-0-8218-0718-7
List Price: US$29
Member Price: US$23.20
All Individuals: US$23.20
Order Code: CBMS/68
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This book expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.

Readership

Table of Contents

Part I. Engineering motivation
  • Engineering background
  • Engineering problems
Part II. Analytic function therory
  • Fractional maps and Grassmannians
  • Representing shift invariant subspaces
  • Applications to factorization, interpolation, and approximation
  • Further applications
  • Matrix analogs and generalizations
Part III. Matrices
  • Some matrix problems in engineering
  • Optimization, matrix inequalities, and matrix completions
  • The spectrum of a matrix with respect to an algebra
Part IV. The general \(H^\infty\) optimization problem
  • Nonlinear \(H^\infty\) optimization
  • Bibliography
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