I want to solve (A - c_i) * x = b for multiple shifts c_i. A is a Hermitian matrix, where A*x is efficient than obtaining A directly. A - c_i * I is positive definite. I know that one can use Krylov subspace methods (Lanczos iteration) to solve this problem for multiple shifts efficiently. Is there…

@Jae-Mo_Lihm I just released the vesion 0.8.0 of Krylov.jl. All solvers are able to solve complex linear systems now !!! Don’t hesitate to try this new feature :slight_smile:

Linear problem with multiple shifts

Specific Domains Numerics

rafael.guerra October 4, 2021, 5:11am 4

Have you also checked KrylovKit.jl?
Please read here.

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Linear problem with multiple shifts

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