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Full rank factorization in echelon form of totally nonpositive (negative) rectangular matrices |
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| Authors: | Rafael Cant Beatriz Ricarte Ana M Urbano |
| Institution: | aInstitut de Matemàtica Multidisciplinar, Universitat Politècnica de València, 46071 València, Spain |
| Abstract: | An n×m real matrix A is said to be totally nonpositive (negative) if every minor is nonpositive (negative). In this paper, we study the full rank factorization in echelon form of a totally nonpositive (negative) matrix. This characterization allows us to significantly reduce the number of minors to be checked in order to decide the total negativity of a matrix. |
| Keywords: | Totally positive and strictly totally positive matrices Totally nonpositive and totally negative matrices Full rank factorization |
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