NumericalMatrixAnalysis:LinearSystemsandLeastSquares
- 作者
- 出版社 SocietyforIndustrialandAppliedMathematic
- 出版时间 2009年7月
- ISBN 9780898716764
- 定价 420.00
内容简介
Thepurposeofthisbookistopromoteunderstandingoftwophenomena:sensitivityoflinearsystemsandleastsquaresproblems,andnumericalstabilityofalgorithms.Sensitivityandstabilityareanalyzedasmathematicalproperties,withoutreferencetofiniteprecisionarithmetic.Thematerialispresentedatabasiclevel,emphasizingideasandintuition,butinamathematicallyrigorousfashion.Thederivationsaresimpleandelegant,andtheresultsareeasytounderstandandinterpret.Thebookisself-contained.Itwaswrittenforstudentsinallareasofmathematics,engineering,andthecomputationalsciences,butcaneasilybeusedforself-study.Thistextdiffersfromothernumericallinearalgebratextsbyofferingthefollowing:asystematicdevelopmentofnumericalconditioning;asimplifiedconceptofnumericalstabilityinexactarithmetic;simplederivations;ahigh-levelviewofalgorithms;andresultsforcomplexmatrices.
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