A New Subclass of the Class of Nonsingular $$ \mathcal{H} $$-Matrices and Related Inclusion Sets for Eigenvalues and Singular Values
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DOI: 10.1007/s10958-019-04398-4
Abstract: The paper presents new nonsingularity conditions for n ×n matrices, which involve a subset S of the index set {1, . . ., n} and take into consideration the matrix sparsity pattern. It is shown… read more here.
Keywords: nonsingular mathcal; subclass class; class nonsingular; inclusion sets ... See more keywords
Nekrasov tensors and nonsingular $${\mathcal {H}}$$H-tensors
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DOI: 10.1007/s40314-018-0607-5
Abstract: Nekrasov matrices and nonsingular H-matrices are closely related. In this paper, Nekrasov tensors and S-Nekrasov tensors are proved to be nonsingular $${\mathcal {H}}$$H-tensors. And tensors are generalized Nekrasov tensors if and only if they are… read more here.
Keywords: nekrasov tensors; tensors nonsingular; mathcal tensors; nonsingular mathcal ... See more keywords
Several New Estimates of the Minimum H-eigenvalue for Nonsingular $$\mathcal {M}$$M-tensors
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DOI: 10.1007/s40840-017-0544-2
Abstract: In this paper, several new estimates of the minimum H-eigenvalue for weakly irreducible nonsingular $$\mathcal {M}$$M-tensors, including the new Brauer-type estimates and the new S-type estimates, are derived. It is proved that the new estimates… read more here.
Keywords: several new; nonsingular mathcal; mathcal tensors; new estimates ... See more keywords