A unification of some matrix factorization results
โ Scribed by J.D. Botha
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 116 KB
- Volume
- 431
- Category
- Article
- ISSN
- 0024-3795
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โฆ Synopsis
A unification of some factorization results regarding products of positive-definite matrices, commutators, and products of involutions is presented. This topic was first presented by Sourour for fields with, in the latter two classes, sufficiently many elements in terms of the order of the matrix being factored. The current presentation is valid for matrices over any field with at least four elements, and is independent of the order of the matrix being factored.
๐ SIMILAR VOLUMES
## Abstract A number of integrals of scalar variables are extended to the case of matrix variables. Functions where the argument is a positive definite symmetric matrix are considered in this article. With the help of a generalized matrix transform a number of results are derived which are extensio
It was shown in a recent paper that an rs-regular multigraph G with maximum multiplicity ยต(G) โค r can be factored into r regular simple graphs if first we allow the deletion of a relatively small number of hamilton cycles from G. In this paper, we use this theorem to obtain extensions of some factor