Displaying similar documents to “Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting”

Rational Krylov for nonlinear eigenproblems, an iterative projection method

Elias Jarlebring, Heinrich Voss (2005)

Applications of Mathematics

Similarity:

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...