Matlab如何解决大型，对称和稀疏线性系统 [英] how does matlab solve large, symmetric and sparse linear systems

问题描述

也就是说，当我对一个非常大，对称且稀疏的A执行A\b时，matlab使用什么算法?

That is, when I do A\b for a very large, symmetric and sparse A, what algorithm does matlab use?

推荐答案

答案取决于A的某些属性(对角线/正方形/带状?等). CHOLMOD，UMFPACK和qr因式分解是其中的一些选项.

The answer depends on the some properties of A (diagonal/square/banded? etc.). CHOLMOD, UMFPACK and qr factorization are some of the options.

文档对此进行了说明. 这里是文档在线快照的链接.这可能已经过时了. - http://amath.colorado.edu/computing/Matlab/OldTechDocs/ref/arithmeticoperators.html - http://www.maths.lth.se/na/courses/NUM115/NUM115-11/backslash.html

The documentation explains it. Here are links to online snapshots of the docs. This may be outdated. - http://amath.colorado.edu/computing/Matlab/OldTechDocs/ref/arithmeticoperators.html - http://www.maths.lth.se/na/courses/NUM115/NUM115-11/backslash.html

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