Results 171 to 180 of about 3,479 (214)

Data-driven, ML-assisted approaches to problem well-posedness. [PDF]

open access: yesPNAS Nexus
Bertalan T   +5 more
europepmc   +1 more source

A silicon microneedle array atmospheric pressure plasma ionization source for real-time trace gas chemical analysis. [PDF]

open access: yesMicrosyst Nanoeng
Chew BS   +6 more
europepmc   +1 more source

Theoretical and numerical comparisons of GMRES and WZ-GMRES

open access: yesComputers and Mathematics With Applications, 2004
The authors study the numerical stability of the WZ-GMRES method proposed by \textit{H. F. Walker} and \textit{L. Zhou} [Numer. Linear Algebra Appl. 1, No. 6, 571--581 (1994; Zbl 0838.65030)] and compare the stability of the WZ-GMRES method with that of the GMRES method for solving systems of linear equations \(Ax = b\) with a non-symmetric matrix \(A\)
Chen, G. Z., Jia, Z. X.
exaly   +6 more sources

Some observations on weighted GMRES [PDF]

open access: yesNumerical Algorithms, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stefan Güttel   +2 more
exaly   +9 more sources
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GMRES vs. Ideal GMRES

SIAM Journal on Matrix Analysis and Applications, 1997
The GMRES algorithm for solving non-Hermitian linear systems \(Ax=b\) \((A\in\mathbb{C}^{N\times N}\), \(b\in \mathbb{C}^{N}\) is studied. The ideal GMRES problem is obtained if one consideres minimization of \(|p(A) |\) instead of \(|p(A)b|\) as in the GMRES algorithm.
Kim-Chuan Toh
exaly   +2 more sources

Weighted Inner Products for GMRES and GMRES-DR [PDF]

open access: yesSIAM Journal of Scientific Computing, 2017
Revision containing edits to the text, corrections, and removal of the section on Arnoldi in weighted inner products (to reduce the manuscript's length)
Mark Embree, Ronald B Morgan
exaly   +4 more sources

A simpler GMRES

Numerical Linear Algebra With Applications, 1994
AbstractThe generalized minimal residual (GMRES) method is widely used for solving very large, nonsymmetric linear systems, particularly those that arise through discretization of continuous mathematical models in science and engineering. By shifting the Arnoldi process to begin with Ar0 instead of r0, we obtain simpler Gram–Schmidt and Householder ...
Homer F Walker
exaly   +3 more sources

Proxy-GMRES: Preconditioning via GMRES in Polynomial Space

SIAM Journal on Matrix Analysis and Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xin Ye, Yuanzhe Xi, Yousef Saad
openaire   +2 more sources

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