Description
Book SynopsisKarl Gustafson is the creator of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics, and finance.Antieigenvalue analysis, with its operator trigonometry, is a unifying language which enables new and deeper geometrical understanding of essentially every result in operator theory and matrix theory, together with their applications. This book will open up its methods to a wide range of specialists.
Table of ContentsThe Essentials of Antieigenvalue Theory; Convexity in Norm Geometry; The Min-Max Theorem; The Euler Equation; Higher Antieigenvalues; Applications in Numerical Analysis; Applications in Wavelets, Control, and Scattering; The Trigonometry of Matrix Statistics; Bell's Inequalities, Penrose Twistors, and Quantum Trigonometry; Trigonometry of Financial Instruments.
