An Adaptation of Krylov Subspace Methods to Path Following Problems

An Adaptation of Krylov Subspace Methods to Path Following Problems

A procedure is outlined for adapting Krylov subspace methods to solving approximately the underdetermined linear systems that arise in path following (continuation, homotopy) methods. This procedure, in addition to preserving the usual desirable features of Krylov subspace methods, has the advantages of satisfying orthogonality constraints exactly and of not introducing ill-conditioning through...

Timely Communication an Adaptation of Krylov Subspace Methods to Path following Problems∗

A procedure is outlined for adapting Krylov subspace methods to solving approximately the underdetermined linear systems that arise in path following (continuation, homotopy) methods. This procedure, in addition to preserving the usual desirable features of Krylov subspace methods, has the advantages of satisfying orthogonality constraints exactly and of not introducing ill-conditioning through...

Preconditioned Krylov Subspace Methods for Eigenvalue Problems

Krylov Subspace Methods and Applications to System and Control Problems

In this report the Krylov subspace methods are reviewed and some applications in linear system theory and modern control theory are introduced. A modiication to the Arnoldi-based method to solve the Lyapunov matrix equation is also proposed.

Avoiding Krylov Subspace Methods

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