Accurate conjugate gradient methods for families of shifted systems
Applied Numerical Mathematics - Numerical algorithms, parallelism and applications
Restarted weighted full orthogonalization method for shifted linear systems
Computers & Mathematics with Applications
The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides
SIAM Journal on Matrix Analysis and Applications
Solution of generalized shifted linear systems with complex symmetric matrices
Journal of Computational Physics
Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems
SIAM Journal on Matrix Analysis and Applications
Krylov-Based Model Order Reduction of Time-delay Systems
SIAM Journal on Matrix Analysis and Applications
Implementation of Pellet's theorem
Numerical Algorithms
| Hi-index | 0.01 |
In this paper we address the numerical solution of a large linear system depending quadratically on a parameter that varies in a wide range. We analyze a solution method, whose computational cost grows only sublinearly with the number of parameters, that relies on the use of an indefinite inner product. Important implementation aspects are treated in detail. The problem arises in various application areas: we shall report on our experience with cases in structural dynamics.