About: MINRES

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The Minimal Residual Method or MINRES is a Krylov subspace method for the iterative solution of symmetric linear equation systems. It was proposed by mathematicians and Michael Alan Saunders in 1975. In contrast to the popular CG method, the MINRES method does not assume that the matrix is positive definite, only the symmetry of the matrix is mandatory. The popular GMRES method is an improved generalization of MINRES but requires much more memory.

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dbo:abstract	Das MINRES-Verfahren (von englisch minimum residual „minimales Residuum“) ist ein Krylow-Unterraum-Verfahren zur iterativen Lösung von symmetrischen linearen Gleichungssystemen. Es wurde 1975 von den Mathematikern und vorgeschlagen. Im Unterschied zum CG-Verfahren wird beim MINRES-Verfahren nicht vorausgesetzt, dass die Matrix positiv definit ist, nur die Symmetrie der Matrix wird zwingend vorausgesetzt. (de) The Minimal Residual Method or MINRES is a Krylov subspace method for the iterative solution of symmetric linear equation systems. It was proposed by mathematicians and Michael Alan Saunders in 1975. In contrast to the popular CG method, the MINRES method does not assume that the matrix is positive definite, only the symmetry of the matrix is mandatory. The popular GMRES method is an improved generalization of MINRES but requires much more memory. (en)
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rdfs:comment	Das MINRES-Verfahren (von englisch minimum residual „minimales Residuum“) ist ein Krylow-Unterraum-Verfahren zur iterativen Lösung von symmetrischen linearen Gleichungssystemen. Es wurde 1975 von den Mathematikern und vorgeschlagen. Im Unterschied zum CG-Verfahren wird beim MINRES-Verfahren nicht vorausgesetzt, dass die Matrix positiv definit ist, nur die Symmetrie der Matrix wird zwingend vorausgesetzt. (de) The Minimal Residual Method or MINRES is a Krylov subspace method for the iterative solution of symmetric linear equation systems. It was proposed by mathematicians and Michael Alan Saunders in 1975. In contrast to the popular CG method, the MINRES method does not assume that the matrix is positive definite, only the symmetry of the matrix is mandatory. The popular GMRES method is an improved generalization of MINRES but requires much more memory. (en)
rdfs:label	MINRES-Verfahren (de) MINRES (en)
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