Latest Articles for Linear Algebra

Learn how to create well-conditioned bases using different methods for data representation.

A look at the behavior of uncommon linear systems and their implications.

Examining core sets and their significance in matrix rings.

This study reveals the properties and applications of normal matrices and balanced graphs.

Exploring approximation of linear subspaces with rational numbers through Diophantine exponents.

Explore Grassmannians and their role in geometry and curvature analysis.

A look into the complexities of the multiparameter matrix pencil problem.

Exploring the role of companion matrices within classical groups and their significance.

An exploration of how matrices and eigenvalues relate on various surfaces.

Explore key concepts of Grassmann, flag, and Stiefel manifolds and their applications.

Exploring conditions for eigenvalues of nonnegative matrices and their significance.

A study on linear maps that maintain positivity in non-negative functions and sequences.

Explore the unique structures and properties of near-vector spaces in mathematics.

Exploring how random matrix eigenvalues behave over time and reach stable distributions.

A look into association schemes and their role in mathematical analysis.

Examining finite groups with real irreducible representations of different dimensions.

Exploring the significance of dimensions in finite group theory.

Learn how stable rank and intrinsic dimension provide insights into matrix properties.

An exploration of prime matrices and their breakdown into simpler tensor products.

Explore how linear groups relate through universal equivalence in local rings.

A new approach to find eigenvalue locations using block matrices.

A look at integral operators and their trace class properties in functional analysis.

An overview of self-dual tensor products in finite-dimensional convex cones and operator systems.

Exploring the relationship between logarithmic energy and polynomial eigenvalue phenomena.

This article examines special unitary groups and their significance in quantum mechanics.

Study of groups through matrices and their properties.

A look into unitary groups, von Neumann algebras, and the universal covering group.

Exploring the links between hollow integer matrices, eigenvalues, and signed graphs.

Exploring the significance of characteristic polynomials in random matrix theory and number theory.

Exploring novel measurements of distance in graphs using advanced mathematics and linear algebra.

A look into the role of anti-symmetric matrices in linear algebra.

Exploring the properties and implications of positive semi-definite matrices in mathematics.

An overview of Pennington-Worah matrices and their implications in various fields.

Exploring unipotent matrices and commutators' roles in matrix transformations.

Explore the Crouzeix ratio and its significance in matrix behavior.

Exploring stable class functions and their applications in representation theory and beyond.

A dive into the Dirac operator and its eigenvalues through perturbations.

A look into techniques for handling singular matrices in eigenvalue problems.

Discover how different mathematical concepts connect through spectral equivalences.

Exploring relationships and characteristics of Weyl modules and homomorphisms.