Differential Properties of Eigenvalues (Classic Reprint)

James V. Burke, Michael L. Overton

ISBN 10: 1333740174 / ISBN 13: 9781333740177

Verlag: Forgotten Books, 2024

Beschreibung

Print on Demand. This book analyzes the properties of eigenvalues for non-symmetric matrices and polynomials. Eigenvalues are numbers that define the behavior of mathematical objects and are particularly relevant in fields like engineering and physics. The author presents innovative techniques to analyze the sensitivity of eigenvalues to changes in the matrix or polynomial coefficients. These new methods can be applied to various problems, including optimizing the stability of systems or designing materials with specific properties. The author builds on classical computational schemes and introduces the novel concept of directional differentiability, which allows for a deeper understanding of eigenvalue behavior. The results provide valuable insights into the relationship between eigenvalues and the underlying mathematical structures, expanding our knowledge in this fundamental area of mathematics and its applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. Bestandsnummer des Verkäufers 9781333740177_0

Bibliografische Details

Titel: Differential Properties of Eigenvalues (...

Verlag: Forgotten Books

Erscheinungsdatum: 2024

Einband: Paperback

Zustand: New

Art des Buches: print-on-demand item

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Excerpt from Differential Properties of Eigenvalues

In the discussion that follows certain statements are sensitive to the domain of the variable being discussed. Thus, in order to avoid confusion, we obey the following convention concerning the labeling of the variables C, e, and 2: C will always represent a complex scalar, e a real scalar, and z a vector in C.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.