書誌事項

Operator theory, analytic functions, matrices, and electrical engineering

J. William Helton with the assistance of Joseph A. Ball, Charles R. Johnson, and John N. Palmer

(Regional conference series in mathematics, no. 68)

Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1987

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注記

Bibliography: p. 125-134

Supported by the National Science Foundation

"Expository lectures from the CBMS Regional Conference held at Lincoln, Nebraska, August 1985"--T.p. verso

内容説明・目次

内容説明

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.

目次

  • 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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