Matrix Inequalities for Iterative Systems - Hanjo Taubig

Matrix Inequalities for Iterative Systems

(Autor)

Buch | Hardcover
218 Seiten
2016
Crc Press Inc (Verlag)
978-1-4987-7777-3 (ISBN)
186,95 inkl. MwSt
The book reviews inequalities for weighted entry sums of matrix powers. Applications range from mathematics and CS to pure sciences. It unifies and generalizes several results for products and powers of sesquilinear forms derived from powers of Hermitian, positive-semidefinite, as well as nonnegative matrices. It shows that some inequalities are valid only in specific cases. How to translate the Hermitian matrix results into results for alternating powers of general rectangular matrices? Inequalities that compare the powers of the row and column sums to the row and column sums of the matrix powers are refined for nonnegative matrices. Lastly, eigenvalue bounds and derive results for iterated kernels are improved.

Hanjo Taubig

Introduction. Notation and Basic Facts. Motivation. Diagonalization and Spectral Decomposition. Undirected Graphs / Hermitian Matrices. General Results. Restricted Graph Classes. Directed Graphs / Nonsymmetric. Walks and Alternating Walks in Directed Graphs. Powers of Row and Column Sums. Applications. Bounds for the Largest Eigenvalue. Iterated Kernels. Conclusion. Bibliography. Index.

Erscheinungsdatum
Zusatzinfo 3 Illustrations, black and white
Verlagsort Bosa Roca
Sprache englisch
Maße 178 x 254 mm
Gewicht 566 g
Themenwelt Mathematik / Informatik Informatik
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 1-4987-7777-5 / 1498777775
ISBN-13 978-1-4987-7777-3 / 9781498777773
Zustand Neuware
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