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Invariant Subspaces of Matrices with Applications [Kõva köide]

, (Arizona State University), , (University of Calgary, Canada)
Teised raamatud teemal:
Invariant Subspaces of Matrices with Applications
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780471842606.html
Märksõnad:
This unique treatment of linear algebra 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. Also presented is an algebraic treatment of control and systems theories. Written by a world-famous expert, this text contains material not previously published, and includes numerous exercises.
PARTIAL TABLE OF CONTENTS:
FUNDAMENTAL PROPERTIES OF INVARIANT SUBSPACES AND APPLICATIONS.
Invariant Subspaces: Definition, Examples and First Properties.
Jordan Form and Invariant Subspaces.
Coinvariant and Semiinvariant Subspaces.
Jordan Form for Extensions and Completions.
ALGEBRAIC PROPERITES OF INVARIANT SUBSPACES.
Algebras of Matrices and Invariant Subspaces.
Real Linear Transformations.
TOPOLOGICAL PROPERTIES OF INVARIANT SUBSPACES AND STABILITY.
The Metric Space of Subspaces.
The Metric Space of Invariant Subspaces.
Continuity and Stability of Invariant Subspaces.
ANALYTIC PROPERTIES OF INVARIANT SUBSPACES.
Analytic Families of Subspaces.
Jordan Form of Analytic Matrix Functions.
Applications.
Appendix.
List of Notations and Conventions.
References.