The critical exponent for generalized doubly nonnegative matrices
نویسندگان
چکیده
منابع مشابه
Wielandt's proof of the exponent inequality for primitive nonnegative matrices
The proof of the exponent inequality found in Wielandt's unpublished diaries of a result announced without proof in his well known paper on nonnegative irreducible matrices. A facsimile, a transcription, a translation and a commentary are presented. © 2002 Published by Elsevier Science Inc. . In IDS famous paper [3] on nonnegative irreducible matrices published in 1950, Wielandt announced an in...
متن کاملSeparating doubly nonnegative and completely positive matrices
The cone of Completely Positive (CP) matrices can be used to exactly formulate a variety of NP-Hard optimization problems. A tractable relaxation for CP matrices is provided by the cone of Doubly Nonnegative (DNN) matrices; that is, matrices that are both positive semidefinite and componentwise nonnegative. A natural problem in the optimization setting is then to separate a given DNN but non-CP...
متن کاملThe kth upper generalized exponent set for primitive matrices
Let Pn,d be the set of n x n non-symmetric primitive matrices with exactly d nonzero diagonal entries. For each positive integer 2 ~ k ~ n -1, we determine the kth upper generalized exponent set for Pn,d and characterize the extremal matrices by using a graph theoretical method.
متن کاملThe Critical Exponent of Doubly Singular Parabolic Equations
In this paper we study the Cauchy problem of doubly singular parabolic equations ut = div ∇u σ ∇um + t x u with non-negative initial data. Here −1 < σ ≤ 0, m > max 0 1 − σ − σ + 2 /N satisfying 0 < σ +m ≤ 1, p > 1, and s ≥ 0. We prove that if θ > max − σ + 2 , 1 + s N 1 − σ − m − σ + 2 , then pc = σ +m + σ +m− 1 s + σ + 2 1+ s + θ /N > 1 is the critical exponent; i.e, if 1 < p ≤ pc then every n...
متن کاملGeneralized Doubly Stochastic Matrices and Linear Preservers
A real or complex n × n matrix is generalized doubly stochastic if all of its row sums and column sums equal one. Denote by V the linear space spanned by such matrices. We study the reducibility of V under the group Γ of linear operators of the form A 7→ PAQ, where P and Q are n×n permutation matrices. Using this result, we show that every linear operator φ : V → V mapping the set of generalize...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2016
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2016.1223009