Results 81 to 90 of about 3,994 (221)

Biorthogonal rational Krylov subspace methods

, 2019
A general framework for oblique projections of non-Hermitian matrices onto rational Krylov subspaces is developed. To obtain this framework we revisit the classical rational Krylov subspace algorithm and prove that the projected matrix can be written ...
Van Buggenhout, Niel, Vandebril, Raf, Van Barel, Marc   +2 more
core   +1 more source

Krylov subspace approximations for the exponential Euler method: Error estimates and the harmonic Ritz approximant

, 2011
We study Krylov subspace methods for approximating the matrix-function vector product φ(tA)b where φ(z) = [exp(z) - 1]/z. This product arises in the numerical integration of large stiff systems of differential equations by the Exponential Euler Method ...
Turner, Ian, Ilic, Milos, Carr, Elliot Joseph   +2 more
core  

Shortcuts to Adiabaticity in Krylov Space

Physical Review X
Shortcuts to adiabaticity provide fast protocols for quantum state preparation in which the use of auxiliary counterdiabatic controls circumvents the requirement of slow driving in adiabatic strategies.
Kazutaka Takahashi, Adolfo del Campo
doaj   +1 more source

Krylov Subspace Methods on Parallel Computers

, 1996
The aspects of implementing Krylov subspace methods on parallel computers are investigated. It is shown how to increase the parallel performance by restructuring standard sequential versions of the algorithms, with some trade-off in stability.
Patrik Skogqvist
core  

Stochastic estimation of nuclear level density in the nuclear shell model: An application to parity-dependent level density in 58Ni

Physics Letters B, 2016
We introduce a novel method to obtain level densities in large-scale shell-model calculations. Our method is a stochastic estimation of eigenvalue count based on a shifted Krylov-subspace method, which enables us to obtain level densities of huge ...
Noritaka Shimizu, Yutaka Utsuno, Yasunori Futamura, Tetsuya Sakurai, Takahiro Mizusaki, Takaharu Otsuka   +5 more
doaj   +1 more source

Information Retrieval Using Krylov Subspace Methods

, 2004
In this dissertation we discuss how simple Krylov subspace methods can be used for information retrieval (IR). The dissertation consists of two parts.
Blom, Katarina
core  

KRYLOV SUBSPACE ACCELERATION OF WAVEFORM RELAXATION ∗

, 2008
. In this paper we describe and analyze Krylov subspace techniques for accelerating the convergence of waveform relaxation for solving time dependent problems. A new class of accelerated waveform methods, convolution Krylov subspace methods, is presented.
Andrew Lumsdaine, Deyun Wu
core  

A Time-Segmented SAI-Krylov Subspace Approach for Large-Scale Transient Electromagnetic Forward Modeling

Applied Sciences
After nearly two decades of development, transient electromagnetic (TEM) 3D forward modeling technology has significantly improved both numerical precision and computational efficiency, primarily through advancements in mesh generation and the ...
Ya’nan Fan, Kailiang Lu, Juanjuan Li, Tianchi Fu   +3 more
doaj   +1 more source

Extended block Hessenberg method for large-scale Sylvester differential matrix equations [PDF]

Journal of Mahani Mathematical Research
In this paper, we consider large-scale low-rank Sylvester differential matrix equations. We present two iterative methods for the approximate solution of such differential matrix equations. In the first method, exploiting the extended block Krylov method,
Azita Tajaddini
doaj   +1 more source

A Flexible Coding Scheme Based on Block Krylov Subspace Approximation for Light Field Displays with Stacked Multiplicative Layers. [PDF]

Sensors (Basel), 2021
Ravishankar J, Sharma M, Gopalakrishnan P.   +2 more
europepmc   +1 more source