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.

Readership

Table of Contents

• Engineering background
• Engineering problems

• Fractional maps and Grassmannians
• Representing shift invariant subspaces
• Applications to factorization, interpolation, and approximation
• Further applications
• Matrix analogs and generalizations

• Some matrix problems in engineering
• Optimization, matrix inequalities, and matrix completions
• The spectrum of a matrix with respect to an algebra

• Nonlinear $H^\infty$ optimization
• Bibliography