In this paper, strong relative perturbation bounds are developed for eigenvalues and singular values of totally nonpositive matrices. We first show that there ...
Abstract. A real square matrix is said to be totally nonpositive if all of its minors are nonpos- itive. In this paper, strong relative perturbation bounds ...
In this paper, strong relative perturbation bounds are developed for eigenvalues and singular values of totally nonpositive matrices. We first show that there ...
In this paper, we study how eigenvalues of a matrix A change when it is perturbed to eA = D 1AD2 and how singular values of a nonsquare matrix B change when it ...
Missing: Totally | Show results with:Totally
Sep 6, 2015 · Chu D. “Relative Perturbation analysis for eidenvalues and singular values of totally nonpositive matrices.” Siam J. Matrix Anal. Appl 36 (2) ( ...
The classical perturbation theory for Hermitian matrix eigenvalue and singular value problems provides bounds on the absolute differences between ...
Abstract. We consider the class of totally nonnegative (TN) matrices—matrices all of whose minors are nonnegative. Any nonsingular TN matrix factors as a ...
Abstract. The classical perturbation theory for Hermitian matrix eigenvalue and singular value problems provides bounds on invariant subspace variations ...
Missing: Totally | Show results with:Totally
The following argument shows that a nearly degenerate matrix must have small singular values. 3Mirsky's theorem in the Frobenius norm and specialized to ...
Missing: Totally | Show results with:Totally
People also ask
What is the relation between eigenvalues and singular values of a matrix?
Is the value 0 an eigenvalue of a matrix if the matrix is singular?
What are the singular values of eigenvalues of Hermitian matrices?
[PDF] Relative perturbation theory for diagonally dominant matrices
www.ms.uky.edu › reports › PertDD
Abstract. In this paper, strong relative perturbation bounds are developed for a number of linear algebra problems involving diagonally dominant matrices.
Missing: Nonpositive | Show results with:Nonpositive