Eigenvalue problem phase 1: $\boldsymbol{A}\rightarrow \boldsymbol{H},,\left( \boldsymbol{A}\sim \boldsymbol{H} \right)$, $\boldsymbol{H}$ is a upper Hessenberg ...

The teaching and learning of linear algebra have evolved significantly over recent decades, underpinned by diverse approaches ranging from theoretical expositions to dynamic, model-based environments.

ABSTRACT: This paper provides a simple proof for the Perron-Frobenius theorem concerned with positive matrices using a homotopy technique. By analyzing the behaviour of the eigenvalues of a family of ...

“Mathematics is the art of reducing any problem to linear algebra.” This is a quote often attributed to William Stein, a former mathematics professor at the University of Washington, now the lead ...

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 ...

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 ...