Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

Eigenvalue problems occupy a central role in Riemannian geometry, providing profound insights into the interplay between geometry and analysis. At their core, these problems involve the study of ...

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 ...

Taiwanese Journal of Mathematics, Vol. 26, No. 5 (October 2022), pp. 1045-1068 (24 pages) We consider how distribution of eigenvalues depends on boundary conditions of a discrete Laplacian operator on ...