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 ...

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 ...

Unlock the power of linear algebra! Learn how to solve the 2×2 eigenvalue problem step by step using Python. Perfect for ...

We prove inequalities for Laplace eigenvalues of Riemannian manifolds generalising to higher eigenvalues two classical inequalities for the first Laplace eigenvalue—the inequality in terms of the ...