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.

1 Like

Topic		Replies	Views
[ANN] KrylovKit: Community announcement	8	1754	September 7, 2018
Solving shifted linear system Numerics linearalgebra	19	813	April 15, 2024
Special method for Eigenvectors of Sparse+Hermitian+Complex matrix? Numerics question , performance	19	4019	October 6, 2017
Internal manipulation of complex hermitian matrix / explain the use of "RealHermSymComplexHerm" in symmetric.jl Numerics	7	1126	November 19, 2017
Unified Interface for Linear Solving Numerics	34	6171	January 25, 2017

Linear problem with multiple shifts

Related topics