Results 31 to 40 of about 1,908 (194)

Residual-Based Simpler Block GMRES for Nonsymmetric Linear Systems with Multiple Right-Hand Sides

Advances in Mathematical Physics, 2018
We propose in this paper a residual-based simpler block GMRES method for solving a system of linear algebraic equations with multiple right-hand sides. We show that this method is mathematically equivalent to the block GMRES method and thus equivalent to
Qinghua Wu, Liang Bao, Yiqin Lin
doaj   +1 more source

The Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi Method [PDF]

SIAM Journal on Scientific Computing, 2017
We present a new computational approach for a class of large-scale nonlinear eigenvalue problems (NEPs) that are nonlinear in the eigenvalue. The contribution of this paper is two-fold. We derive a new iterative algorithm for NEPs, the tensor infinite Arnoldi method (TIAR), which is applicable to a general class of NEPs, and we show how to specialize ...
Elias Jarlebring, Giampaolo Mele, Olof Runborg   +2 more
openaire   +3 more sources

Reduced order calculation method of subsynchronous oscillation mode of PMSG based wind farm connected with power grid based on Arnoldi method

Science and Technology for Energy Transition
Large scale wind turbine connected to the power grid is easy to induce subsynchronous oscillation. “Curse of dimensionality” will be encountered when the subsynchronous oscillation mode is analysed and evaluated based on the full-order model of the wind ...
Xu Jing, Liu Shuxin, Ming Xin
doaj   +1 more source

On a Non-Symmetric Eigenvalue Problem Governing Interior Structural–Acoustic Vibrations

Aerospace, 2016
Small amplitude vibrations of a structure completely filled with a fluid are considered. Describing the structure by displacements and the fluid by its pressure field, the free vibrations are governed by a non-self-adjoint eigenvalue problem. This survey
Heinrich Voss
doaj   +1 more source

Automatic parameter setting for Arnoldi–Tikhonov methods

Journal of Computational and Applied Mathematics, 2014
In the framework of iterative regularization techniques for large-scale linear ill-posed problems, this paper introduces a novel algorithm for the choice of the regularization parameter when performing the Arnoldi–Tikhonov method. Assuming that we can apply the discrepancy principle, this new strategy can work without restrictions on the choice of the ...
Gazzola, Silvia, NOVATI, PAOLO
openaire   +4 more sources

Accelerating the Sinkhorn–Knopp iteration by Arnoldi-type methods [PDF]

Calcolo, 2020
It is shown that the problem of balancing a nonnegative matrix by positive diagonal matrices can be recast as a constrained nonlinear multiparameter eigenvalue problem. Based on this equivalent formulation some adaptations of the power method and Arnoldi process are proposed for computing the dominant eigenvector which defines the structure of the ...
A. Aristodemo, L. Gemignani
openaire   +4 more sources

A variant of the Power–Arnoldi algorithm for computing PageRank [PDF]

, 2020
For computing PageRank problems, a Power–Arnoldi algorithm is presented by periodically knitting the power method together with the thick restarted Arnoldi algorithm. In this paper, by using the power method with the extrapolation process based on trace (
Shen, Zhao Li, Huang, Ting Zhu, Hu, Qian Ying, Gu, Xian Ming, Wen, Chun   +4 more
core   +1 more source

A new shift scheme for the harmonic Arnoldi method

Mathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, G. Z., Lin, J. H.
openaire   +2 more sources

Nutrient enrichment destabilizes aquatic food webs through synchronization within and across trophic levels

Functional Ecology, EarlyView.
Read the free Plain Language Summary for this article on the Journal blog. Abstract Nutrient enrichment destabilizes ecosystems globally, but the mechanistic pathways underlying this effect in multi‐trophic communities remain unclear. To address this knowledge gap, we applied biodiversity–stability theory to multi‐trophic communities by partitioning ...
Libin Zhou, Shaopeng Wang, Qi Yang, Pubin Hong, You Zhang, Maowei Liang, Peng Xing, Zhigang Mao, Biao Li, Erik Jeppesen, Martin Søndergaard, Liselotte S. Johansson, Qinglong Wu   +12 more
wiley   +1 more source

Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm

, 1999
It is well known that a Ritz vector obtained by the Lanczos method and the Arnoldi method can be characterized by an elegant explicit polynomial, whose roots are just the other m − 1 Ritz values of the matrix A in question from the m-dimensional Krylov ...
Zhongxiao Jia, Jia, Zhongxiao
core   +1 more source