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applied mathematics

s步GMRES

s-step GMRES

s-step GMRES is a numerical method for solving large sparse linear systems, specifically a variant of the Generalized Minimal Residual algorithm that operates on a block of Krylov vectors simultaneously. / s步GMRES是一种用于求解大型稀疏线性方程组的数值方法,它是广义极小残差算法的一种变体,同时操作一组Krylov向量。

Knowledge type
工艺技术
First proposed or discovered
Proposer
Turkey Farm member
Creator
农场主
Last updated
2026-10-26 17:02:05
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Sub-knowledge points

Gram decayintrinsic information dimensionbackward stability

Higher-order knowledge points

GMRES / 数学理论Krylov subspace methodsIterative linear solvers

Main parameters and performance indicators

s: block size or number of vectors processed simultaneouslym: dimension of the Krylov subspace

Open problems

No unresolved problem recorded yet

Related literature

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Gram decay, intrinsic information dimension, and backward stability of s-step GMRESOpen source

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Creation and modification trail

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automated knowledge publish农场主2026-10-26 17:02:05

Record title: s-step GMRES.