Overview of Krylov subspace methods with applications to control problems
An overview of projection methods based on Krylov subspaces are given with emphasis on their application to solving matrix equations that arise in control problems.
Saad, Youcef
core
Deterministic sketching for Krylov subspace methods
Randomized sketching is currently introduced into every area of numerical linear algebra. In Krylov subspace methods, it allows runtime savings at the cost of small accuracy reductions. This work offers a different view on sketching in Krylov methods by analyzing what subspace embeddings are obtained by arbitrary sketching matrices.
openaire +2 more sources
Variational log-Gaussian point-process methods for grid cells. [PDF]
Rule ME +5 more
europepmc +2 more sources
Krylov subspace methods for computing hydrodynamic interactions in brownian dynamics simulations. [PDF]
Ando T, Chow E, Saad Y, Skolnick J.
europepmc +1 more source
Investigating Multi-Array Antenna Signal Convergence using Wavelet Transform and Krylov Sequence
In the present world, wireless communication is becoming immensely popular for plethora of applications. Technology has been advancing at an accelerated rate leading to make communication reliable.
Muhammad Ahmed Sikander +2 more
doaj
Krylov subspace techniques for rational integrators
Implementation of exponential integrators is usually based on Krylov subspace methods, with control of generalized residuals. We consider the case where rational analogues are used for the matrix exponential and the phi- or related functions, e.g.
Auzinger, Winfried
core
A Convergent Generalized Krylov Subspace Method for Compressed Sensing MRI Reconstruction with Gradient-Driven Denoisers. [PDF]
Hong T, Villa U, Fessler JA.
europepmc +1 more source
An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. [PDF]
Chen JF, Gu XM, Li L, Zhou P.
europepmc +1 more source
A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process
We discuss a Krylov-Schur like restarting technique applied within the symplectic Lanczos algorithm for the Hamiltonian eigenvalue problem. This allows to easily implement a purging and locking strategy in order to improve the convergence properties of ...
Martin Stollc +5 more
core
Regularization properties of Krylov subspace methods
The aim of this thesis is to study and describe regularizing properties of iterative Krylov subspace methods for finding a solution of linear algebraic ill- posed problems contaminated by white noise. First we explain properties of this kind of problems,
Kučerová, Andrea
core

