All Research Papers Published In Linear Algebra and Its Applications

Research Article
1
10.1016/j.laa.2025.03.005

Unitary similarity and the numerical radius preservers

Jun 01, 2025
Linear Algebra and its Applications
Abdellatif Bourhim + 1 more +1

Research Article
2
10.1016/j.laa.2025.02.025

Interplay between discretization and controllability of linear delay systems: An algebraic viewpoint

May 01, 2025
Linear Algebra and its Applications
Florentina Nicolau + 2 more +2

Research Article
1
10.1016/j.laa.2025.02.019

Invariant subspace perturbation of a matrix with Jordan blocks

Apr 01, 2025
Linear Algebra and its Applications
Hongguo Xu

Research Article
1
10.1016/j.laa.2025.01.034

Spectral extremal graphs for disjoint odd wheels

Apr 01, 2025
Linear Algebra and its Applications
Yu Luo + 2 more +2

Research Article
10.1016/j.laa.2025.04.004

A note on indefinite matrix splitting and preconditioning

Apr 01, 2025
Linear Algebra and its Applications
Andy Wathen

Research Article
10.1016/j.laa.2025.02.011

The spectrum of symmetric decorated paths

Apr 01, 2025
Linear Algebra and its Applications
Gabriel Coutinho + 2 more +2

Research Article
10.1016/j.laa.2025.02.001

Computation of an exact GCRD of several polynomial matrices: QR decomposition approach

Apr 01, 2025
Linear Algebra and its Applications
Anjali Beniwal + 2 more +2

Research Article
10.1016/j.laa.2025.01.041

Symmetry decomposition and matrix multiplication

Apr 01, 2025
Linear Algebra and its Applications
Nicholas J Higham + 2 more +2

General matrices can be split uniquely into Frobenius-orthogonal components: a constant row and column sum (type S) part, a vertex cross sum (type V) part and a weight part. We show that for square matrices, the type S part can be expressed as a sum of squares of type V matrices. We investigate the properties of such decomposition under matrix multiplication, in particular how the pseudoinverses of a matrix relates to the pseudoinverses of its component parts. For invertible matrices, this yields an expression for the inverse where only the type S part needs to be (pseudo)inverted; in the example of the Wilson matrix, this component is considerably better conditioned than the whole matrix. We also show a relation between matrix determinants and the weight of their matrix inverses and give a simple proof for Frobenius-optimal approximations with the constant row and column sum and the vertex cross sum properties, respectively, to a given matrix.

Research Article
1
10.1016/j.laa.2025.01.037

A note on the Bollobás-Nikiforov conjecture

Apr 01, 2025
Linear Algebra and its Applications
Jiasheng Zeng + 1 more +1

Research Article
8
10.1016/j.laa.2025.01.024

Minimal error momentum Bregman-Kaczmarz

Mar 01, 2025
Linear Algebra and its Applications
Dirk A Lorenz + 1 more +1