منابع مشابه
Connection matrices
Suppose you want to evaluate a graph parameter on a graph G. There is a cut of size k in a graph, and while you know everything about one side of the cut, you have to pay for information about the other side. How much information do you need about the other side? To avoid the trivial solution “just tell me the value of the parameter, if my side looks like this”, let us assume that the informati...
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Fingers of the hand are interdependent: when a person moves one finger or produces a force with a fingertip, other fingers of the hand also move or show force production. Hence, no direct correspondence exists between the neural commands to individual fingers and finger forces. The relations among fingers are described with inter-finger connection matrices, IFM. The IFMs depend on the number of...
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In this paper, we obtain some formulas for compound matrices of generalized Schur complements of matrices. Further, we give some Löwner partial orders for compound matrices of Schur complements of positive semidefinite Hermitian matrices, and obtain some estimates for eigenvalues of Schur complements of sums of positive semidefinite Hermitian matrices.
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In this paper, we obtain some formulas for compound matrices of generalized Schur complements of matrices. Further, we give some Löwner partial orders for compound matrices of Schur complements of positive semidefinite Hermitian matrices, and obtain some estimates for eigenvalues of Schur complements of sums of positive semidefinite Hermitian matrices.
متن کاملconley: Computing connection matrices in Maple
Abstract. In this work we announce the Maple package conley to compute connection and C-connection matrices. conley is based on our abstract homological algebra package homalg. We emphasize that the notion of braids is irrelevant for the definition and for the computation of such matrices. We introduce the notion of triangles that suffices to state the definition of (C)-connection matrices. The...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1980
ISSN: 0012-365X
DOI: 10.1016/0012-365x(80)90227-7