Results 11 to 20 of about 40 (40)
New bounds for the minimum eigenvalue of đť“ś-tensors
Open Mathematics, 2017 A new lower bound and a new upper bound for the minimum eigenvalue of an đť“ś-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal.
Zhao Jianxing, Sang Caili
doaj +1 more source
THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM
Forum of Mathematics, Sigma, 2015 The hyperbolic quadratic eigenvalue problem (HQEP) was shown to admit Courant–Fischer type min–max principles in 1955 by Duffin and Cauchy type interlacing inequalities in 2010 by Veselić.
XIN LIANG, REN-CANG LI
doaj +1 more source
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 +1 more source
Changes in signature induced by the Lyapunov mapping LA : X → AX + XAA±
, 1989 International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 503-506, 1989.
Tyler Haynes
wiley +1 more source
A convergence analysis of SOR iterative methods for linear systems with weak H-matrices
Open Mathematics, 2016 It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices).
Zhang Cheng-yi +2 more
doaj +1 more source
Two new eigenvalue localization sets for tensors and theirs applications
Open Mathematics, 2017 A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Qi (J. Symbolic Comput., 2005, 40, 1302-1324) and Li et al. (Numer. Linear Algebra Appl., 2014, 21, 39-50).
Zhao Jianxing, Sang Caili
doaj +1 more source
Eigenvalue Localization Inequalities for Complex Matrices With Order n≥3
Advances in Mathematical PhysicsMSC2020 Classification: 15A18, 15A60 ...
Rong Ma, Feng Zhang
doaj +1 more source
Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues
Advances in Nonlinear Analysis, 2018 This paper deals with an eigenvalue problem possessing infinitely many positive and negative eigenvalues. Inequalities for the smallest positive and the largest negative eigenvalues, which have the same properties as the fundamental frequency, are ...
Bandle Catherine, Wagner Alfred
doaj +1 more source
Minimum trace norm of real symmetric and Hermitian matrices with zero diagonal
Special MatricesWe establish tight lower bounds for the trace norm (‖⋅‖1)\left(\Vert \cdot {\Vert }_{1}) of real symmetric and Hermitian matrices with zero diagonal entries in terms of their entrywise L1{L}^{1}-norms (‖⋅‖(1))\left(\Vert \cdot {\Vert }_{\left(1)}).
Einollahzadeh Mostafa +1 more
doaj +1 more source
Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices
Open Mathematics, 2014 Monvel Anne, Zielinski Lech
doaj +1 more source