The class of generalized α-matrices is presented by Cvetkovi?, L. (2006), and proved to be a subclass of H-matrices. In this paper, we present a new class of matrices-generalized irreducible α-matrices, and prove th...The class of generalized α-matrices is presented by Cvetkovi?, L. (2006), and proved to be a subclass of H-matrices. In this paper, we present a new class of matrices-generalized irreducible α-matrices, and prove that a generalized irreducible α-matrix is an H-matrix. Furthermore, using the generalized arithmetic-geometric mean inequality, we obtain two new classes of H-matrices. As applications of the obtained results, three regions including all the eigenvalues of a matrix are given.展开更多
The class of E＇-matrices introduced in [4] is a subclass of Q0-matrices whose proper principal submatrices are Q--matrices. In this paper, we investigate the relation of the class E＇ to other known matrix classes an...The class of E＇-matrices introduced in [4] is a subclass of Q0-matrices whose proper principal submatrices are Q--matrices. In this paper, we investigate the relation of the class E＇ to other known matrix classes and obtain a series of necessary and sufficient conditions for E＇-matrices.展开更多
The irreducibility and aperiodicity (primitivity)are two basic notions in the theory of nonnegative matrices. As we know, for a nonnegative matrix, there exist no feasible algorithms for judging them, especially for a...The irreducibility and aperiodicity (primitivity)are two basic notions in the theory of nonnegative matrices. As we know, for a nonnegative matrix, there exist no feasible algorithms for judging them, especially for aperiodicity. Usually, for a k×k nonnegative matrix, one can form an associated directed graph which has k vertices and whose directed展开更多
In the study on the indices of convergence of primitive and irreducible Boolean matrices, many interesting results have been obtained, but up to now, very few works are seen for reducible Boolean matrices. Indeed the ...In the study on the indices of convergence of primitive and irreducible Boolean matrices, many interesting results have been obtained, but up to now, very few works are seen for reducible Boolean matrices. Indeed the reducible case is much more complicated than the irreducible case.展开更多
The developments in supersymmetry have drawn more attention to the graded Lie algebra. Especially after Yuval Neeman had derived the Weinberg-Salam model
文摘The class of generalized α-matrices is presented by Cvetkovi?, L. (2006), and proved to be a subclass of H-matrices. In this paper, we present a new class of matrices-generalized irreducible α-matrices, and prove that a generalized irreducible α-matrix is an H-matrix. Furthermore, using the generalized arithmetic-geometric mean inequality, we obtain two new classes of H-matrices. As applications of the obtained results, three regions including all the eigenvalues of a matrix are given.
基金Supported by the YSF of Guangdong University of Technology(062058)
文摘The class of E＇-matrices introduced in [4] is a subclass of Q0-matrices whose proper principal submatrices are Q--matrices. In this paper, we investigate the relation of the class E＇ to other known matrix classes and obtain a series of necessary and sufficient conditions for E＇-matrices.
基金Project supported by the National Natural Science Foundation of China and National Educational Fund of China
文摘The irreducibility and aperiodicity (primitivity)are two basic notions in the theory of nonnegative matrices. As we know, for a nonnegative matrix, there exist no feasible algorithms for judging them, especially for aperiodicity. Usually, for a k×k nonnegative matrix, one can form an associated directed graph which has k vertices and whose directed
文摘In the study on the indices of convergence of primitive and irreducible Boolean matrices, many interesting results have been obtained, but up to now, very few works are seen for reducible Boolean matrices. Indeed the reducible case is much more complicated than the irreducible case.
文摘The developments in supersymmetry have drawn more attention to the graded Lie algebra. Especially after Yuval Neeman had derived the Weinberg-Salam model
