New results about semi-positive matrices
Czechoslovak Mathematical Journal, Tome 66 (2016) no. 3, pp. 621-632.

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Our purpose is to present a number of new facts about the structure of semipositive matrices, involving patterns, spectra and Jordon form, sums and products, and matrix equivalence, etc. Techniques used to obtain the results may be of independent interest. Examples include: any matrix with at least two columns is a sum, and any matrix with at least two rows, a product, of semipositive matrices. Any spectrum of a real matrix with at least $2$ elements is the spectrum of a square semipositive matrix, and any real matrix, except for a negative scalar matrix, is similar to a semipositive matrix. M-matrices are generalized to the non-square case and sign patterns that require semipositivity are characterized.
DOI : 10.1007/s10587-016-0282-x
Classification : 15A23, 15A39, 15A86, 15B48, 15B52
Mots-clés : sign semipositivity; semipositive matrix; M-matrix; spectrum; equivalence 
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Dorsey, Jonathan; Gannon, Tom; Johnson, Charles R.; Turnansky, Morrison. New results about semi-positive matrices. Czechoslovak Mathematical Journal, Tome 66 (2016) no. 3, pp. 621-632. doi : 10.1007/s10587-016-0282-x. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0282-x/

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