Operator Theory, Analytic Functions, Matrices, and Electrical Engineering

Operator Theory, Analytic Functions, Matrices, and Electrical Engineering

Paperback Cbms Regional Conference Series in Mathematics

By (author) J. William Helton, By (author) Joseph A. Ball, By (author) Charles R. Johnson, By (author) John N. Palmer

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  • Publisher: American Mathematical Society
  • Format: Paperback | 134 pages
  • Dimensions: 178mm x 252mm x 8mm | 227g
  • Publication date: 15 December 1987
  • Publication City/Country: Providence
  • ISBN 10: 0821807188
  • ISBN 13: 9780821807187

Product description

Expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.

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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.