Inverse NO-matrices |
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| Authors: | Gregery A Johnson |
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| Institution: | Southwestern at Memphis Memphis, Tennessee 38112, USA |
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| Abstract: | Results similar to those of Thomas L. Markham concerning inverse M-matrices are shown to hold for inverse NOmatrices. A more general result and an alternate method of proof using Schur complements are given for one of Markham's theorems. Conditions are given to transform a nonpositive matrix to an NO-amtrix by multiplication by Householder transformations. Also, an LU factorization of an inverse NO-matrix is given. |
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