“NeumannSeries”的概念、定义、习题解题方法及翻译-数学辞典

单词	NeumannSeries
释义	Neumann series If $A$ is a square matrix, $\\\|A\\\|<1$ , then $I-A$ is nonsingular and $(I-A)^{-1}=I+A+A^{2}+\\cdots=\\sum_{k=0}^{\\infty}A^{k}$ . This is the Neumann series. It provides approximations of $(I-A)^{-1}$ when $A$ has entries of small magnitude.For example, a first-order approximation is $(I-A)^{-1}\\approx I+A$ . It is obvious that this is a generalization of the geometric series. References 1 Carl D. Meyer, Matrix Analysis and Applied Linear Algebra.
随便看	proof of Wagner’s theorem ProofOfWaringsFormula proof of Waring’s formula ProofOfWeakMaximumPrincipleForRealDomains proof of weak maximum principle for real domains ProofOfWedderburnsTheorem proof of Wedderburn’s theorem ProofOfWeierstrassApproximationTheorem proof of Weierstrass approximation theorem ProofOfWeierstrassApproximationTheoremInRn proof of Weierstrass approximation theorem in R^n ProofOfWeierstrassCriterionOfUniformConvergence ProofOfWeierstrassMtest proof of Weierstrass M-test proof of Weierstrass’ criterion of uniform convergence ProofOfWeylsInequality proof of Weyl’s inequality ProofOfWhenIsAPointInsideATriangle proof of when is a point inside a triangle ProofOfWielandtHoffmanTheorem proof of Wielandt-Hoffman theorem ProofOfWilsonsTheorem ProofOfWilsonsTheoremResult ProofOfWilsonsTheoremUsingTheWilsonQuotient proof of Wilson’s theorem

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

Neumann series