Out-of-Core Krylov-Subspace Methods
, 1995 of operations in every iteration, namely multiplication of a vector by the matrix A, vector operations (additions and multiplication by scalars), and inner products.
Sivan Toledo
core
Fingering instability at the interface between growing and not-growing cell populations with different mobilities. [PDF]
J Math BiolCiarletta P +3 more
europepmc +1 more source
Truncation Strategies for Optimal Krylov Subspace Methods
, 1996 Optimal Krylov subspace methods like GMRES and GCR have to compute an orthogonal basis for the entire Krylov subspace to compute the minimum residual approximation to the solution.
E. de Sturler
core
Implicitly Restarted Lanczos Enables Chemically Accurate Shallow Neural Quantum States. [PDF]
Precis ChemLiu W, Dou W.
europepmc +1 more source
A Convergent Generalized Krylov Subspace Method for Compressed Sensing MRI Reconstruction with Gradient-Driven Denoisers. [PDF]
IEEE Trans Comput ImagingHong T, Villa U, Fessler JA.
europepmc +1 more source
An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. [PDF]
Entropy (Basel), 2023 Chen JF, Gu XM, Li L, Zhou P.
europepmc +1 more source
Motivations and realizations of Krylov subspace methods for large sparse linear systems
Journal of Computational and Applied Mathematics, 2015 Zhong-Zhi Bai
semanticscholar +1 more source
Quantum Cosmology in Krylov Space: Complexity and Entropy. [PDF]
Entropy (Basel)Motaharfar M, Siebersma MR, Singh P.
europepmc +1 more source
Resource-Efficient Quantum Algorithms for Selected Hamiltonian Subspace Diagonalization. [PDF]
J Chem Theory ComputGraves V +3 more
europepmc +1 more source
Incorporating Krylov Subspace Methods in the ETDRK4 Scheme
, 2014 A modification of the (2,2)-Pade algorithm developed by Wade et al. for implementing the exponential time differencing fourth order Runge-Kutta (ETDRK4) method is introduced.
Allen, Jeffrey H.
core