Results 1 to 10 of about 101 (68)

Eigenvalue Localization Inequalities for Complex Matrices With Order n≥3

Advances in Mathematical Physics
MSC2020 Classification: 15A18, 15A60 ...
Rong Ma, Feng Zhang
doaj   +2 more sources

Some new bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix

Open Mathematics, 2016
Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem.
Zhao Jianxing, Sang Caili
doaj   +2 more sources

On the location of eigenvalues of matrix polynomials [PDF]

Operators and Matrices, 2017
A number λ ∈ C is called an eigenvalue of the matrix polynomial P(z) if there exists a nonzero vector x ∈ Cn such that P(λ)x = 0 . Note that each finite eigenvalue of P(z) is a zero of the characteristic polynomial det(P(z)) .
C. Lê, Thị-Hòa-Bình Dư, T. Nguyen
semanticscholar   +1 more source

Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices

Open Mathematics, 2021
In this paper, the authors extend determinantal inequalities of the Hua-Marcus-Zhang type for positive definite matrices to the corresponding ones for quaternion matrices.
Hong Yan, Qi Feng
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Bounds for the spectral radius of nonnegative matrices and generalized Fibonacci matrices

Special Matrices, 2022
In this article, we determine upper and lower bounds for the spectral radius of nonnegative matrices. Introducing the notion of average 4-row sum of a nonnegative matrix, we extend various existing formulas for spectral radius bounds.
Adam Maria, Aretaki Aikaterini
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Seidel energy of complete multipartite graphs

Special Matrices, 2021
The Seidel energy of a simple graph G is the sum of the absolute values of the eigenvalues of the Seidel matrix of G. In this paper we study the Seidel eigenvalues of complete multipartite graphs and find the exact value of the Seidel energy of the ...
Oboudi Mohammad Reza
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Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair

Special Matrices, 2020
Let (λ, v) be a known real eigenpair of an n×n real matrix A. In this paper it is shown how to locate the other eigenvalues of A in terms of the components of v. The obtained region is a union of Gershgorin discs of the second type recently introduced by
Marsli Rachid, Hall Frank J.
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Some inequalities for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse

Journal of Inequalities and Applications, 2013
In this paper, some new inequalities for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse are given. These inequalities are sharper than the well-known results.
G. Cheng, Qin Tan, Zhuan-De Wang
semanticscholar   +2 more sources

On the smallest singular value in the class of unit lower triangular matrices with entries in [−a, a]

Special Matrices, 2021
Given a real number a ≥ 1, let Kn(a) be the set of all n × n unit lower triangular matrices with each element in the interval [−a, a]. Denoting by λn(·) the smallest eigenvalue of a given matrix, let cn(a) = min {λ n(YYT) : Y ∈ Kn(a)}.
Altınışık Ercan
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On the optimality of double‐bracket flows

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 62, Page 3301-3319, 2004., 2004
We analyze the optimality of the stable fixed point of the double‐bracket equations. We introduce different types of optimality and prove local and global optimality results with respect to the Schatten p‐norms.
Anthony M. Bloch, Arieh Iserles
wiley   +1 more source