A Hadamard product involving inverse-positive matrices

• Autorzy: Gassó Maria T. , Torregrosa Juan R. , Abad Manuel
• Języki publikacji: EN

Abstrakty

EN

In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard product A ◦ B−1 is again an inverse-positive matrix.

Kategorie tematyczne

• 15A09: Matrix inversion, generalized inverses
• 15B48: Positive matrices and their generalizations; cones of matrices

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-04-15

zaakceptowano

2015-07-27

online

2015-08-05

Twórcy

autor

Gassó Maria T.

• Dpto. de Matemática Aplicada, Universidad Politécnica de Valencia, Spain

autor

Torregrosa Juan R.

• Dpto. de Matemática Aplicada, Universidad Politécnica de Valencia, Spain

autor

Abad Manuel

• Dpto. de Matemática Aplicada, Universidad Politécnica de Valencia, Spain

Bibliografia

• [1] S.M. Fallat, C.R. Johnson, Hadamard powers and totally positive matrices, Linear Algebra Appl., 423 (2007) 420-427.
• [2] K. Fan, Inequalities for M-matrices, Nederl. Akad. Wetensch. Proc. Ser. A67 (1964) 602-610.
• [3] C.R. Johnson, A Hadamard Product Involving M-matrices, Linear Multilinear Algebra, 4 (1977) 261-264. [Crossref]
• [4] C.R. Johnson, R.L. Smith, Path Product matrices, Linear Multilinear Algebra, 46 (1999) 177-191.
• [5] Y. Shangjun, C. Qian, On Oppenheim’s inequality, Numerical Mathematics, 14(2) (2005) 97-101.
• [6] B.Y. Wang, X. Zhang, F. Zhang, On the Hadamard Product of Inverse M-matrices, Linear Algebra Appl., 305 (2000) 23-31.

Identyfikatory

DOI

10.1515/spma-2015-0018