Implementation of the gmr algorithm for large symmetric eigenproblems
Improved initialization of the accelerated and robust QR-like polynomial root-finding.
Improving backward stability of Sakurai-Sugiura method with balancing technique in polynomial eigenvalue problem
One of the most efficient methods for solving the polynomial eigenvalue problem (PEP) is the Sakurai-Sugiura method with Rayleigh-Ritz projection (SS-RR), which finds the eigenvalues contained in a certain domain using the contour integral. The SS-RR method converts the original PEP to a small projected PEP using the Rayleigh-Ritz projection. However, the SS-RR method suffers from backward instability when the norms of the coefficient matrices of the projected PEP vary widely. To improve the backward...
Inclusion Theorems for a Section of a Matrix.
Inexact Newton preconditioning techniques for large symmetric eigenvalue problems.
Inhomogenous RefinementEquations.
Inverse eigenvalue problem for periodic block Jacobi matrices