Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices
نویسندگان
چکیده
منابع مشابه
Inverses of triangular matrices and bipartite graphs
To a given nonsingular triangular matrix A with entries from a ring, we associate a weighted bipartite graph G(A) and give a combinatorial description of the inverse of A by employing paths in G(A). Under a certain condition, nonsingular triangular matrices A such that A and A−1 have the same zero-nonzero pattern are characterized. A combinatorial construction is given to construct outer invers...
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ژورنال
عنوان ژورنال: Special Matrices
سال: 2015
ISSN: 2300-7451
DOI: 10.1515/spma-2015-0025