Rank-One Modification of the Symmetric Eigenproblem.
Rational Krylov for nonlinear eigenproblems, an iterative projection method
In recent papers Ruhe suggested a rational Krylov method for nonlinear eigenproblems knitting together a secant method for linearizing the nonlinear problem and the Krylov method for the linearized problem. In this note we point out that the method can be understood as an iterative projection method. Similarly to the Arnoldi method the search space is expanded by the direction from residual inverse iteration. Numerical methods demonstrate that the rational Krylov method can be accelerated considerably...
Realistic Error Bounds for a Simple Eigenvalue and its Associated Eigenvector.
Reguläre Zerlegungen und Berechnung des Spektralradius nichtnegativer Matrizen.
Regularized nonnegative matrix factorization: geometrical interpretation and application to spectral unmixing
Remarks on inertia theorems for matrices
Remarks on restriction eigenfunctions in .
Reorthoganization in the block Lanczos algorithm
Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method.