Linear Algebra, Matrices, and Their Applications

Shaun Michael Fallat, Surender K. Jain, Manjunatha Prasad Karantha, Stephen James Kirkland

• Publisher: American Mathematical Society
• Year: 2026
• Topic: Mathematics
• eBook ISBN:
  9781470481919
• Subtopic: Mathematics General
• Index: Mathematics

Articles in this volume are based on talks given at the International Conference on Linear Algebra and its Applications (ICLAA 2023), which took place in Manipal, India. It contains fifteen articles by mathematicians working in linear algebra and related areas. The topics include, among others, recent developments in matrix theory and its applications to linear algebra, linear operators in Banach algebras, game theory, and optimal designs. In addition to research articles, the volume contains expository papers describing new avenues of research and open problems. The volume can also serve as a reference for researchers working in linear algebra and related topics.

Table of contents

• Cover
• Title page
• Contents
• Preface
• Canonical forms of holomorphic and meromorphic matrices
• Stress centrality measure of a vertex
• Stability of quaternion matrix polynomials
• Vertical block 𝑃- and 𝑃₀-matrices
• Some remarks on the reparametrization of linear models
• Products of idempotents in Banach algebras of operators
• Edge sudoku number of a graph—I
• On subspaces of Banach spaces which admit unique norm preserving extensions under various embeddings
• Some new characterizations of core-EP inverse
• Discrete multilinear time-invariant systems based on t-product
• Studying optimal designs for multivariate crossover trials
• Inverse 𝑍-matrices with the bi-diagonal south-west structure
• Totally positive matrices
• Vertical block matrices and vertical linear complementarity problem
• Solving fuzzy linear systems using weighted Moore-Penrose and Drazin inverse of extended matrix