Linear Algebra in Action - Rilegato

Dym, Harry

Rilegato

ISBN 10: 1470409089 ISBN 13: 9781470409081

Casa editrice: Amer Mathematical Society, 2014

Riassunto

Dym offers this graduate-level linear algebra text with a focus on applications. The book begins with a definition of vector spaces and their relationship to matrices. Gaussian elimination and its applications are covered next, followed by eigenvalues, eigenvectors, and determinants. Calculation of Jordan forms is followed by normed linear spaces, inner product spaces, orthogonality, and symmetric, Hermitian, and normal matrices. Singular values, pseudoinverses, triangular factorization, difference equations, and differential equations are covered. Advanced topics included vector-valued functions, the implicit function theorem, extremal problems, matrix-valued holomorphic functions, matrix equations, realization theory, eigenvalue location and zero location problems, convexity, and some special results relating to matrices with nonnegative entries. The second edition is revised for clarity and simplification where possible in some proofs, and includes new short sections on linear programming, extreme points for polyhedra, and a Nevanlinna-Pick interpolation problem. Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2014
• Lingua: Inglese
• ISBN 10: 1470409089
• ISBN 13: 9781470409081
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 585
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile