Séminaire en optimisation GERAD/CRC-ONDI : Numerical solution of Saddle-Point Linear Systems
514 340-6053 poste 6979
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2920, chemin de la Tour
Montréal, QC Canada
H3T 1N8
514 343-6111
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Constrained partial differential equations and optimization problems typically require the need to solve special linear systems known as saddle-point systems. When the matrices are very large and sparse, iterative methods must be used. A challenge here is to derive and apply solution methods that exploit the properties and the structure of the underlying discrete operators, and yield fast convergence without imposing unreasonable computer storage requirements. In this talk I will provide an overview of solution techniques. We will discuss effective preconditioners and their spectral properties for Krylov subspace solvers, bounds on convergence rates, and computational challenges.
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