On certain type of preconditioning for KKT-matrices
type: Item
instance of: scholarly article
title: On certain type of preconditioning for KKT-matrices
zbMATH Open document ID: 1054.15009
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 2004-09-08T00:00:00Z
review text: The author explains why the matrix \(\mathcal M=\mathcal G^{-1}\mathcal A\), where \[ \mathcal G=\begin{pmatrix} G & B^{T} \\ B & 0 \end{pmatrix} ,\,\mathcal A=\begin{pmatrix} A & B^{T} \\ B & 0 \end{pmatrix} . \] (\(A\) is a square \(n\times n\)-matrix and \(B\) is an \(m\times n\)-matrix) has the eigenvalue 1 of multiplicity at least \(2m\).
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A12
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 2099555
zbMATH Keywords: multiple eigenvalue
author: Kh. D. Ikramov
MaRDI profile type: Publication
Recommended article: Iterative Approximation of Preconditioning Matrices Through Krylov-Type Solver Iterations
Recommended article: A note on preconditioning for \(M\)-matrix
Recommended article: Q4395365
Recommended article: Q4395364
Recommended article: A preconditioning technique for Krylov subspace methods in RKHSs
Recommended article: Preconditioners for Krylov subspace methods: An overview
Recommended article: Q3415762
Recommended article: \(M\)-preconditioner for \(M\)-matrices
Recommended article: Q3373420
Recommended article: Regularization and preconditioning of KKT systems arising in nonnegative least-squares problems
description: scientific article; zbMATH DE number 2099555