✦ LIBER ✦

Surveys in combinatorics 1987 : Edited by C. Whitehead (Cambridge University Press, Great Britain 1987) 226 pages

Book ID: 103060077
Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 125 KB
Volume: 76
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(89)90299-9

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✦ Synopsis

Book announcements Localization of the Maximal Eigenualue. Bounds for the maximal eigenvalue of a nonnegative matrix. Dominating nonnegative matrix, Bounds for maximal eigenvectors. Chapter 3: Primitive and Imprimitiue Matrices. Spectra of irreducible matrices. Primitive matrices. The Frobenius form of an irreducible matrix. Matrices in superdiagonal block form. Chapter 4: Structural Properties of Nonnegatiue Matrices. (0, 1)Matrices. Permanents. The Frobenius-Kiinig theorem. Nonnegative matrices and graphs. Fully indecomposable matrices. Nearly decomposable and nearly reducible matrices. Bounds for permanents of (0, 1)matrices. Chapter 5: Doubly Stochastic Matrices. Definitions and early results. Theorems of Muirhead and of Hardy, Littlewood, kind P6lya. BirkhofPs theorem. More abpuf doubly stochastic matrices. The van der Waerden conjecture = The Egory&v-Falikman theorem. Chapter 6. Other classes of Nonnegatiue Matrices. Stochaslic Matrices. Totally nonnegative matrices. Oscillatory matrices. M-matrices. Chapter 7: Inverse Eigenualue Problems. Inverse eigenvalue problems for nonnegative matrices and stochastic matrices. Inverse spectrum problems for nonnegative matrices. Similarity to nonnegative and doubly stochastic matrices. General References. Index of Symbols. Index.

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