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A note concerning positive matrices and M-matrices

✍ Scribed by Ky Fan; A. S. Householder

Publisher
Springer Vienna
Year
1959
Tongue
English
Weight
255 KB
Volume
63
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

A note on cross-positive matrices
A note on cross-positive matrices
✍ Bit-Shun Tam πŸ“‚ Article πŸ“… 1975 πŸ› Elsevier Science 🌐 English βš– 126 KB
Notes on completely positive matrices
Notes on completely positive matrices
✍ Shuhuang Xiang; Shuwen Xiang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 326 KB

Let A be a n Γ— n symmetric matrix and in the closure of inverse M-matrices. Then A can be factored as A = BB r for some nonnegative lower triangular n Γ— n matrix B, and cp-rank A ~< n. If A is a positive semidefinite (0, 1) matrix, then A is completely positive and cp-rank A = rank A; if A is a non