线性代数-常用单词词组-中英对照

1IndexAAdditionofvectors向量的加法2,3,33,121Allcombinations所有组合5,122,123Anglebetweenvectors向量间的夹角14,15Anti-symmetric(seeSkew-symmetric)反对称109Area面积272,273,280ArnoldiiterationArnoldi迭代488,491,492Arrow箭头3,4,423Associativelaw结合律58,59,69,80Average平均值227,450,456BBacksubstitution回代45,49,98Backslash反斜杠99,156Basis基底168,172,180,200,391Bigformula256,258Bigpicture187,199,421Binomial二项式442,454Bioinformatics生物信息学457BLAS:BasicLinearAlgebraSubrontines基本线性代数子程序466Blockelimination分块消去71Blockmultiplication分块相乘70,79Blockpivot主元块94Boundarycondition边界条件417Bowl353Box273,276CCalculus微积分学25,281,417Cauchy-Binet282Cayley-Hamilton凯莱-哈密顿310,311,362Centereddifference中心差分25,28,316,328Changeofbasis基底的变化358,390,391,396,400Characteristicpolynomial特征多项式287Choleskyfactorization柯勒斯基分解102,345,353,564Circle圆，圆周315,316Clock钟9Closestline最邻近线218,219,222Cofactors代数余子式255,259,260,265,270Columnatatime逐列23,32,36Columnpicture列图32,34,402ColumnspaceC(A)列空间C(A)123,124,130Columnvector列向量2,4Columnstimesrows列乘行62,68,71,145,150Combinationofcolumns列的组合32,33,56Commutative交换的59,69Commutingmatrices交换矩阵305Completesolution通解136,156,159,162,313Complex复数120,340,493,494,499,506,509Complexeigenvalues复特征值289,333Complexeigenvectors复特征向量289,333Compression压缩364,373,391,410Computationalscience计算科学189,317,419,427Computergraphics电脑图形图像459,462,463Conditionnumber条件数371,477,478Conjugate共轭的333,338,494,501,506Conjugategradients共轭梯度486,492Constantcoefficients常系数312Convolution卷积515Corner棱角8,441,443Cosineofangle余弦角15,17,447CosineLaw余弦定律20Cosineofmatrix余弦矩阵329Costvector费用向量440Covariance协方差228,453-458Cramer’sRule克拉默法则259,269,279Crossproduct叉积275,276Cube立方，立方体8,73,274,281,464Cyclic周期性的25,93,374DDeltafunctionDelta函数449,452Dependent相关的26,27,169,170Derivative导数24,109,229,384,395Determinant行列式63,244-280,288,295Diagonalizable可对角化300,304,308,334,335Diagonalization对角化298,300,330,332,363,399Differentialequation微分方程312-329,416Dimension维数145,168,174,175,176,183,185,187Discretecosines离散cosine336,373Discretesines离散sine336,373Distancetosubspace到子空间的距离212Distributivelaw分配律69Dotproduct点积11,56,108,447,5023Dualproblem对偶问题442,446EEconomics经济学435,439Eigencourse457,458Eigenvalue特征值283,287,374,499Eigenvaluechanges特征值变换439Eigenvaluesof的特征值284,294,300Eigenvaluesof的特征值297Eigenvaluesof的特征值362Eigenvectorbasis基底的特征向量399Eigenvectors特征向量283,287,374Eigshow290,368Elimination消元法45-66,83,86,135Ellipse椭圆290,346,366,382Energy能量343,409Engineering工程409,419Error误差211,218,219,225,481,483Errorequation误差方程477Eulerangles欧拉角474Euler’sformula欧拉公式311,426,430,497Even偶数113,246,258,452Exponential指数的314,319,327FFactorization因式分解95,110,235,348,370,374Falseproof假证明305,338FastFourierTransform快速傅立叶变换393,493,511,565Feasibleset可行集440,441FFT(seeFastFourierTransform)见快速傅里叶变换509-514Fibonacci菲波那契75,266,268,301,302,306,308Finitedifference有限差分315-317,417Finiteelements有限元412,419First-ordersystem一阶方程组315,326Fixed-free固定-自由410,414,417,419Forcebalance平衡力412FORTRAN16,38Forwarddifference前向差分30FourFundamentalSubspaces四个基本子空间184-199,368,424,507Fourierseries傅立叶序列233,448,450,452FourierTransform傅立叶变换393,509-5144FredholmAlternative弗雷德霍姆择一203Free自由133,135,137,144,146,155Fullcolumnrank列满秩157,170,405Fullrowrank行满秩159,405Functionspace函数空间121,448,449FundamentalTheoremofLinearAlgebra(seeFourFundamentalSubspaces)线性代数基本定理188,198,368GGaussianelimination高斯消元法45,49,135Gaussianprobabilitydistribution高斯概率分布455Gauss-Jordan高斯-约当83,84,91,469Gauss-Seidel高斯-塞德尔481,484,485,489Geneexpressiondata基因表达数据457Geometricseries等比数列436Gershgorincircles格尔什戈林圆491Gibbsphenomenon吉布斯效应451Givensrotation吉文斯旋转471Google谷歌368,369,434Gram-Schmidt格拉姆-施密特223,234,236,241,370,469Graph图表74,143,307,311,420,422,423Group群119,354HHalf-plane半平面7Heatequation热方程式322,323Heisenberg海森堡305,310Hilbertspace希尔伯特空间447,449Hooke’sLaw虎克定律410,412Householderreflections镜像变换237,469,472Hyperplane超平面30,42IIll-conditionedmatrix病态矩阵371,473,474Imaginary虚数289Independent独立的26,27,134,168,200,300Initialvalue初值313Innerproduct内积11,56,108,448,502,506Inputandoutputbasis基底输入输出399Integral积分24,385,386Interiorpointmethod内点法445Intersectionofspaces交空间129,183Inversematrix逆矩阵24,81,270Inverseof的逆825Invertible可逆的86,173,200,248Iteration迭代481,482,484,489,492JJacobi雅可比481,483,485,489Jordanform约当型356,357,358,361,482JPEG364,373KKalmanfilter卡尔曼滤波器93,214Kernel核377,380Kirchhoff’sLaws基尔霍夫定律143,189,420,424-427Krylov克雷洛夫491,492Lnorm和范数225,480Lagrangemultiplier拉格朗日乘子445Lanczosmethod兰索斯方法490,492LAPACK线性代数软件包98,237,486Leapfrogmethod跳步法317,329Leastsquares最小平方218,219,236,405,408,453Leftnullspace左零空间184,186,192,425Left-inverse左逆的81,86,154,405Length长度12,232,447,448,501Line线34,40,221,474Lineofsprings线弹簧411Linearcombination线性组合1,3Linearequation线性方程23Linearprogramming线性规划440Lineartransformation线性变换44,375-398Linearity线性关系44,245,246Linearlyindependent线性独立26,134,168,169,200LINPACK线性系统软件包465Loop环路307,425,426Lowertriangular下三角9598,100,474Lucasnumbers卢卡斯数306MMaple38,100Mathematica38,100MATLAB17,37,237,243,290,337,513Matrix(seefullpage570)矩阵22,384,387Matrixexponential矩阵指数314,319,3276Matrixmultiplication矩阵乘法58,59,67,389Matrixnotation矩阵记号37Matrixspace矩阵空间121,122,175,181,311Matrix矩阵