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  • Book
  • © 2012

Mathematical Methods in Systems, Optimization, and Control

Festschrift in Honor of J. William Helton

Birkhäuser
  • Original articles present a broad range of cutting-edge research
  • Surveys provide snapshots of the state of operator theory, engineering, and optimization
  • Areas of application include systems and control, mathematical biology, finance, combinatorics, and optimization
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 222)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-x
  2. Biographical and Personal Notes

    1. Front Matter

      Pages 1-1
    2. Helton’s Bibliography

      • Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 3-12
    3. Personal Notes

      • Miroslav Krstic
      Pages 13-15
    4. After Dinner Biographical Notes

      • Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 17-21
    5. Bill’s Early Work

      • Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 23-28
    6. List of Contributors

      • Harry Dym, Mauricio C. de Oliveira, Mihai Putinar
      Pages 29-30
  3. Technical Papers

    1. Front Matter

      Pages 31-31
    2. Spectral Inclusion Theorems

      • Ronald G. Douglas, Jörg Eschmeier
      Pages 113-128
    3. Optimal Solutions to Matrix-valued Nehari Problems and Related Limit Theorems

      • A. E. Frazho, S. ter Horst, M. A. Kaashoek
      Pages 151-172
    4. On Theorems of Halmos and Roth

      • P. A. Fuhrmann, U. Helmke
      Pages 173-187
    5. Pfister’s Theorem Fails in the Free Case

      • Martin Harrison
      Pages 189-194
    6. Free Analysis, Convexity and LMI Domains

      • J. William Helton, Igor Klep, Scott McCullough
      Pages 195-219

About this book

This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributions have helped to shape over the last forty odd years. These include interpolation, Szegö limit theorems, Nehari problems, trace formulas, systems and control theory, convexity, matrix completion problems, linear matrix inequalities and optimization.

The book should be useful to graduate students in mathematics and engineering, as well as to faculty and individuals seeking entry level introductions and references to the indicated topics. It can also serve as a supplementary text to numerous courses in pure and applied  mathematics and engineering, as well as a source book for seminars.

Reviews

From the reviews:

“A good starting point to learn about Helton’s influential work at the edge of Operator theory and systems engineering. … Many of the main topics in this area are covered by the 19 contributions, all written by the main players in the field. … brought in the form of a tutorial, a survey, or even a shorter note, but all very readable and up-to-date. … it can be safely recommended to specialists and to students at an advanced mathematics or engineering level as well.” (A. Bultheel, The European Mathematical Society, September, 2012)

Editors and Affiliations

  • Dept. Mathematics, Weizmann Institute of Science, Rehovot, Israel

    Harry Dym

  • , Department of Mechanical and, University of California San Diego, La Jolla, USA

    Mauricio C. Oliveira

  • College of Letters & Science, Dept. Mathematics, University of California, Santa Barbara, Santa Barbara, USA

    Mihai Putinar

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access