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National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
The Shadow Vector in the Lanczos Method
 Tichý, Petr
The left starting vector, also called shadow vector, is one of the parameters of Krylov subspace methods for solving systems of linear equations based on the nonsymetric Lanczos process. We will shov various choices of this vector that cause equality of certain residual vectors of another Krylov subspace method like GMRES.
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Variable Metric Method for Nonconvex Nonsmooth Unconstrained Minimization
 Vlček, Jan ; Lukšan, Ladislav
A special variable metric method is given for finding stationary points of locally Lipschitz continuous functions which are not necessarily convex or differentiable. Time consuming quadratic programming subproblems do not need to be solved. Some variable numerical experience is reported.
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Conjugate Gradient Methods for Saddle Point Systems
 Lukšan, Ladislav ; Vlček, Jan
Conjugate gradient methods have proved to be very efficient for solving saddle point systems, especially with indefinite preconditioning. These systems are idefinite and have a 2x2 block structure. We study various structured conjugate gradient methods and prove their theoretical properties.
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