This is the revised and expanded edition of the problem book Linear Algebra: Challenging Problems for Students, now entitled Problems in Linear Algebra and Matrix Theory. This new edition contains ...

ABSTRACT: The paper contains two parts. First, by applying the results about the eigenvalue perturbation bounds for Hermitian block tridiagonal matrices in paper [1], we obtain a new efficient method ...

Many fields of science and engineering require finding eigenvalues and eigenvectors of large matrices. The solutions can represent oscillatory modes of a bridge, a violin, the disposition of electrons ...

20.4.2026 – 5.6.2026 After passing the course the student has obtained an understanding of the basic concepts of linear algebra. He/she has theoretical understanding of linear systems, least squares ...

This paper takes another look at the convergence analysis of the Arnoldi procedure for solving non-Hermitian eigenvalue problems. Two main viewpoints are put in contrast. The first exploits the ...

ABSTRACT: The numerical algorithms for finding the lines of branching and branching-off solutions of nonlinear problem on mean-square approximation of a real finite nonnegative function with respect ...

Eigenvalues and eigenvectors are an essential theme in numerical linear algebra. Their study is mainly motivated by their high importance in a wide range of applications. Knowledge of eigenvalues is ...

ZjuMatirx is a object-oriented C++ vector and matrix class library designed for finite element analysis. It contains vector classes, matrix classes, and functions declared in ZjuMatrix head files. Its ...