This book provides a comprehensive treatment of the theory of matrix polynomials. The theory developed here is a natural extension to polynomials of higher degrees, and forms an important new part of linear algebra for which the main concepts and results have been arrived at during the past five years.

Matrix Polynomials (Computer Science and Applied Mathematics)

Science & Math

LANCASTER, Peter

Gohberg, I.

Rodman, L.

Mathematics

Academic Press

<p>A unique treatment of linear algebra which establishes the central role of invariant subspaces in the analysis of linear transformation. Incorporating the newest developments in linear algebra stimulated by linear systems theory, it gives a comprehensive view of geometrical, algebraic, topological, and analytical properties of invariant subspaces, with an emphasis on applications to matrix polynomials, rational matrix functions, linear systems, and matrix quadratic equations. Presents an algebraic treatment of control and systems theories. Written by a world-famous expert, this text contains material not previously published. Includes numerous exercises.</p>

Invariant Subspaces of Matrices With Applications

Lancaster, P.

Wiley-Interscience

This book is the definitive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomials is a natural extension of this case to polynomials of higher degree. It has applications in many areas, such as differential equations, systems theory, the Wiener-Hopf technique, mechanics and vibrations, and numerical analysis. Although there have been significant advances in some quarters, this work remains the only systematic development of the theory of matrix polynomials. The book is appropriate for students, instructors, and researchers in linear algebra, operator theory, differential equations, systems theory, and numerical analysis. Its contents are accessible to readers who have had undergraduate-level courses in linear algebra and complex analysis.

Matrix Polynomials (Classics in Applied Mathematics)

Society for Industrial and Applied Mathematics

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