The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant
We study the combined matrix of a nonsingular H-matrix. These matrices can belong to two different H-matrices classes: the most common, invertible class, and one particular class named mixed class. Different results regarding diagonal dominance of the inverse matrix and the combined matrix of a nons...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/264680 |
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| author | Rafael Bru Maria T. Gassó Isabel Giménez José A. Scott |
| author_facet | Rafael Bru Maria T. Gassó Isabel Giménez José A. Scott |
| author_sort | Rafael Bru |
| collection | DOAJ |
| description | We study the combined matrix of a nonsingular H-matrix. These matrices can belong to two different H-matrices classes: the most common, invertible class, and one particular class named mixed class. Different results regarding diagonal dominance of the inverse matrix and the combined matrix of a nonsingular H-matrix belonging to the referred classes are obtained. We conclude that the combined matrix of a nonsingular H-matrix is always diagonally dominant and then it is an H-matrix. In particular, the combined matrix in the invertible class remains in the same class. |
| format | Article |
| id | doaj-art-d9307a25dae942b7a8c3a4e68bbc36b9 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d9307a25dae942b7a8c3a4e68bbc36b92025-08-20T02:21:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/264680264680The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally DominantRafael Bru0Maria T. Gassó1Isabel Giménez2José A. Scott3Institut de Matemàtica Multidisciplinar, Universitat Politècnica de València, 46022 València, SpainInstitut de Matemàtica Multidisciplinar, Universitat Politècnica de València, 46022 València, SpainInstitut de Matemàtica Multidisciplinar, Universitat Politècnica de València, 46022 València, SpainInstituto Tecnológico de Santo Domingo, Universidad Autónoma de Santo Domingo, 10105 Santo Domingo, Dominican RepublicWe study the combined matrix of a nonsingular H-matrix. These matrices can belong to two different H-matrices classes: the most common, invertible class, and one particular class named mixed class. Different results regarding diagonal dominance of the inverse matrix and the combined matrix of a nonsingular H-matrix belonging to the referred classes are obtained. We conclude that the combined matrix of a nonsingular H-matrix is always diagonally dominant and then it is an H-matrix. In particular, the combined matrix in the invertible class remains in the same class.http://dx.doi.org/10.1155/2015/264680 |
| spellingShingle | Rafael Bru Maria T. Gassó Isabel Giménez José A. Scott The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant Journal of Applied Mathematics |
| title | The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant |
| title_full | The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant |
| title_fullStr | The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant |
| title_full_unstemmed | The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant |
| title_short | The Hadamard Product of a Nonsingular General H-Matrix and Its Inverse Transpose Is Diagonally Dominant |
| title_sort | hadamard product of a nonsingular general h matrix and its inverse transpose is diagonally dominant |
| url | http://dx.doi.org/10.1155/2015/264680 |
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