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Operator Theory, Analytic Functions, Matrices, and Electrical Engineering

About this Title

J. William Helton

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1987; Volume 68
ISBNs: 978-0-8218-0718-7 (print); 978-1-4704-2428-2 (online)
DOI: https://doi.org/10.1090/cbms/068
MathSciNet review: MR896034
MSC: Primary 47-02; Secondary 46J15, 46N05, 47A15, 47A68, 47B50, 93B25, 93B28

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Table of Contents

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Front/Back Matter

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Chapters

• 1. Engineering background
• 2. Engineering problems
• 3. Fractional maps and Grassmannians
• 4. Representing shift invariant subspaces
• 5. Applications to factorization, interpolation, and approximation
• 6. Further applications
• 7. Matrix analogs and generalizations
• 8. Some matrix problems in engineering
• 9. Optimization, matrix inequalities, and matrix completions
• 10. The spectrum of a matrix with respect to an algebra
• 11. Nonlinear $H^{\infty }$ optimization