The range of combined matrices and doubly quasi-stochastic matrices of order 3
[EN] The combined matrix of a nonsingular matrix A is the matrix C(A)=A¿A^{¿t}, where ¿means the Hadamard (entrywise) product. Since the sum of the entries of each row and each column of C(A) is one, when the combined matrix is a real matrix, it is a doubly quasi-stochastic matrix. In this work, dou...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/223569 |
| Online Access: | https://riunet.upv.es/handle/10251/223569 |
| Access Level: | Open access |
| Keyword: | Combined matrix Doubly quasi-stochastic matrix Totally positive matrix Checkerboard matrix |
| Summary: | [EN] The combined matrix of a nonsingular matrix A is the matrix C(A)=A¿A^{¿t}, where ¿means the Hadamard (entrywise) product. Since the sum of the entries of each row and each column of C(A) is one, when the combined matrix is a real matrix, it is a doubly quasi-stochastic matrix. In this work, doubly quasi-stochastic combined matrices are studied. The characterization of all real matrices such that their combined matrix is doubly quasi-stochastic of order 3 is obtained, and the study of the class of totally positive matrices is given. |
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