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Minimum deviation, quasi-LU factorization of nonsingular matrices

โœ Scribed by M.I. Bueno; C.R. Johnson


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
319 KB
Volume
427
Category
Article
ISSN
0024-3795

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We say that a rectangular matrix over a ring with identity is totally nonsingular (TNS) if for all k, all its relevant submatrices, either having k consecutive-rows and the first k columns, or k consecutive-columns and the first k rows, are invertible. We prove that a matrix is TNS if and only if it