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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, and as a source book for seminars.

Computer programming. --- Computer software -- Development -- Mathematical methods. --- Operator theory --- System theory --- Mathematical optimization --- Control theory --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Algebra --- Calculus --- Operations Research --- Operator theory. --- Nonlinear control theory. --- System analysis. --- Helton, J. William, --- Network theory --- Systems analysis --- Helton, John W., --- Helton, Bill, --- Mathematics. --- Algebra. --- Functions of complex variables. --- Operations research. --- Management science. --- Control engineering. --- General Algebraic Systems. --- Control. --- Functions of a Complex Variable. --- Operator Theory. --- Operations Research, Management Science. --- Functional analysis --- Network analysis --- Network science --- Nonlinear theories --- Control and Systems Theory. --- Complex variables --- Elliptic functions --- Functions of real variables --- Mathematical analysis --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers