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ID:14359184
大小:6.89 MB
页数:890页
时间:2018-07-28
《matrix analysis & applied linear algebra - carl d meyer》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、ContentsPreface.......................ix1.LinearEquations..............11.1Introduction..................11.2GaussianEliminationandMatrices........31.3Gauss–JordanMethod..............151.4Two-PointBoundaryValueProblems.......181.5MakingGaussianEliminationWork........211.6Ill-Conditioned
2、Systems.............332.RectangularSystemsandEchelonForms...412.1RowEchelonFormandRank...........412.2ReducedRowEchelonForm...........472.3ConsistencyofLinearSystems..........532.4HomogeneousSystems..............572.5NonhomogeneousSystems............642.6ElectricalCircuits..............
3、..733.MatrixAlgebra..............793.1FromAncientChinatoArthurCayley.......793.2AdditionandTransposition...........813.3Linearity....................893.4WhyDoItThisWay..............933.5MatrixMultiplication..............953.6PropertiesofMatrixMultiplication.......1053.7MatrixInversion.
4、..............1153.8InversesofSumsandSensitivity........1243.9ElementaryMatricesandEquivalence......1313.10TheLUFactorization.............1414.VectorSpaces...............1594.1SpacesandSubspaces.............1594.2FourFundamentalSubspaces..........1694.3LinearIndependence.............181
5、4.4BasisandDimension.............194viContents4.5MoreaboutRank...............2104.6ClassicalLeastSquares............2234.7LinearTransformations............2384.8ChangeofBasisandSimilarity.........2514.9InvariantSubspaces..............2595.Norms,InnerProducts,andOrthogonality..2695.1Vect
6、orNorms................2695.2MatrixNorms................2795.3Inner-ProductSpaces.............2865.4OrthogonalVectors..............2945.5Gram–SchmidtProcedure...........3075.6UnitaryandOrthogonalMatrices........3205.7OrthogonalReduction.............3415.8DiscreteFourierTransform........
7、...3565.9ComplementarySubspaces...........3835.10Range-NullspaceDecomposition........3945.11OrthogonalDecomposition...........4035.12SingularValueDecomposition.........4115.13OrthogonalProjection.............4295.14WhyLeastSquares?..............4465.15AnglesbetweenSubspaces....
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