A MONOTONICITY PROPERTY FOR TODA-TYPE FLOWS

被引：6
|
作者：
DEIFT, PA
RIVERA, S
TOMEI, C
WATKINS, DS
机构：
[1] PONTIFICIA UNIV CATOLICA RIO DE JANEIRO,BR-20000 RIO DE JANEIRO,BRAZIL
[2] YALE UNIV,DEPT MATH,NEW HAVEN,CT 06520
[3] WASHINGTON STATE UNIV,DEPT PURE & APPL MATH,PULLMAN,WA 99164
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1991年 / 12卷 / 03期
关键词：
MONOTONICITY; TODA FLOW; EIGENVALUES;
D O I：
10.1137/0612033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If (X(t))r is the leading r x r submatrix of a matrix X(t) undergoing a general Toda-type flow X = [X, B(f(X))], B(f(X)) = (f(X))- - (f(X))-T, with f nondecreasing, two proofs that the eigenvalues of (X(t))r are nondecreasing in time are given. This property was conjectured by Lagarias in [L].
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页码：463 / 468
页数：6
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