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Showing 1 to 3 of 3 for “"Krylov-Schur"”.
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Hessian Matrix-Free Lagrange-Newton-Krylov-Schur-Schwarz Methods for Elliptic Inverse Problems
… we develop a parallel preconditioned Newton-Krylov method employed in a Hessian-free manner. The preconditioners have an inner-outer structure, taking the form of a Schur complement (block factorization) at the outer level and Schwarz projections at the inner level. However, building an exact …
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Recycling Techniques for Sequences of Linear Systems and Eigenproblems
… the computational cost of constructing the Krylov space starting with a single vector by warm-starting the eigensolver with a subspace instead. We propose an algorithm to warm-start the Krylov-Schur method using a previously computed approximate invariant subspace. We first compute the …
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Parallel symmetric eigenvalue problem solvers
… solvers to other popular eigensolvers (such as Krylov-Schur, LOBPCG, Jacobi-Davidson, and FEAST), establishing the competitiveness of our methods.</p>