LU decomposition of totally nonnegative matrices
K R Goodearl, T H Lenagan
TL;DR
This paper proves a uniqueness theorem for LU decomposition specifically applied to totally nonnegative matrices, enhancing understanding of their structural properties.
Contribution
It introduces a new uniqueness theorem for LU decomposition tailored to totally nonnegative matrices, which was not previously established.
Findings
Established a uniqueness theorem for LU decomposition of totally nonnegative matrices
Clarified the structural properties of these matrices related to LU factorization
Provided theoretical foundations for further research in matrix analysis
Abstract
A uniqueness theorem for an LU decomposition of a totally nonnegative matrix is obtained.
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Taxonomy
TopicsMatrix Theory and Algorithms · graph theory and CDMA systems · Mathematics and Applications