线性代数 - 常用单词词组 - 中英对照 - 图文

Index A Addition of vectors All combinationsAngle between vectorsAnti-symmetric (see Skew-symmetric)AreaArnoldi iterationArrowAssociative lawAverageB Back substitutionBackslashBasisBig formulaBig pictureBinomialBioinformaticsBLAS:Basic Linear Algebra Subrontines 向量的加法所有组合向量间的夹角反对称 2,3,33,1215,122,12314,15109 面积Arnoldi迭代箭头结合律平均值 Block eliminationBlock multiplicationBlock pivotBoundary conditionBowlBoxC CalculusCauchy-BinetCayley-HamiltonCentered differenceChange of basisCharacteristic polynomialCholesky factorizationCircleClockClosest line CofactorsColumn at a time Column picture 回代反斜杠基底 二项式生物信息学基本线性代数子程序分块消去分块相乘主元块 边界条件 微积分学 凯莱-哈密顿中心差分基底的变化特征多项式柯勒斯基分解圆，圆周钟最邻近线 代数余子式逐列 列图 45,49,98 99,156 168,172,180,200,391 256,258 187,199,421 442,454 457 466 71 70,79 94 417 353 273,276 25,281,417 282 310,311,362 25,28,316,328 358,390,391,396,400 287 102,345,353,564 315,316 9 218,219,222 255,259,260,265,270 23,32,36 32,34,40 272,273,280488,491,4923,4,42358,59,69,80227,450,456 1

Column space C(A)Column vectorColumns times rowsCombination of columns CommutativeCommuting matricesComplete solutionComplexComplex eigenvaluesComplex eigenvectorsCompressionComputational scienceComputer graphicsCondition numberConjugateConjugate gradientsConstant coefficientsConvolutionCornerCosine of angleCosine LawCosine of matrixCost vectorCovarianceCramer’s RuleCross productCubeCyclicD Delta function Dependent DerivativeDeterminantDiagonalizableDiagonalizationDifferential equation Dimension 列空间C(A)列向量列乘行列的组合 交换的交换矩阵通解复数复特征值复特征向量压缩计算科学电脑图形图像条件数共轭的共轭梯度常系数卷积棱角余弦角余弦定律余弦矩阵费用向量协方差克拉默法则叉积立方，立方体周期性的 123,124,1302,462,68,71,145,15032,33,56 59,69305136,156,159,162,313120,340,493,494,499,506,509289,333289,333364,373,391,410189,317,419,427459,462,463371,477,478333,338,494,501,506486,4923125158,441,44315,17,44720329440228,453-458259,269,279275,2768,73,274,281,46425,93,374 Delta函数 相关的 导数行列式可对角化对角化微分方程 维数 Discrete cosines Discrete sines Distance to subspace Distributive law Dot product 离散cosine 离散sine 到子空间的距离 分配律 点积 449,45226,27,169,17024,109,229,384,39563,244-280,288,295300,304,308,334,335298,300,330,332,363,399312-329,416 145,168,174,175,176,183,185,187 336,373 336,373 212 69 11,56,108,447,502 2

Dual problemE Economics Eigencourse Eigenvalue Eigenvalue changes Eigenvalues of Eigenvalues of Eigenvalues of 对偶问题 442,446 经济学 特征值 特征值变换 的特征值 的特征值 的特征值 基底的特征向量 特征向量 消元法 椭圆 能量 工程 误差 误差方程 欧拉角 欧拉公式 偶数 指数的 因式分解 假证明 快速傅立叶变换 可行集 见快速傅里叶变换 菲波那契 有限差分 有限元 一阶方程组 固定-自由 平衡力 前向差分 四个基本子空间 傅立叶序列 傅立叶变换 3

435,439 457,458 283,287,374,499 439 284,294,300 297 362 399 283,287,374 290,368 45-66,83,86,135 290,346,366,382 343,409 409,419 211,218,219,225,481,483 477 474 311,426,430,497 113,246,258,452 314,319,327 95,110,235,348,370,374 305,338 393,493,511,565 440,441 509-514 75,266,268,301,302,306,308 315-317,417 412,419 315,326 410,414,417,419 412 16,38 30 184-199,368,424,507 233,448,450,452 393,509-514 Eigenvector basis Eigenvectors Eigshow Elimination Ellipse Energy Engineering Error Error equation Euler angles Euler’s formula Even Exponential F Factorization False proof Fast Fourier Transform Feasible set FFT(see Fast Fourier Transform) Fibonacci Finite difference Finite elements First-order system Fixed-free Force balance FORTRAN Forward difference Four Fundamental Subspaces Fourier series Fourier Transform

Fredholm Alternative Free Full column rank Full row rank Function space Fundamental Theorem of Linear Algebra (see Four Fundamental Subspaces) G Gaussian elimination Gaussian probability distribution Gauss-Jordan Gauss-Seidel Gene expression data Geometric series Gershgorin circles Gibbs phenomenon Givens rotation Google Gram-Schmidt Graph Group H Half-plane Heat equation Heisenberg Hilbert space Hooke’s Law Householder reflections Hyperplane I Ill-conditioned matrix Imaginary Independent Initial value Inner product Input and output basis Integral Interior point method Intersection of spaces Inverse matrix Inverse of

弗雷德霍姆择一 自由 列满秩 行满秩 函数空间 线性代数基本定理 203 133,135,137,144,146,155 157,170,405 159,405 121,448,449 188,198,368 高斯消元法 高斯概率分布 高斯-约当 高斯-塞德尔 基因表达数据 等比数列 格尔什戈林圆 吉布斯效应 吉文斯旋转 谷歌 格拉姆-施密特 图表 群 半平面 热方程式 海森堡 希尔伯特空间 虎克定律 镜像变换 超平面 病态矩阵 虚数 独立的 初值 内积 基底输入输出 积分 内点法 交空间 逆矩阵 的逆 4

45,49,135 455 83,84,91,469 481,484,485,489 457 436 491 451 471 368,369,434 223,234,236,241,370,469 74,143,307,311,420,422,423 119,354 7 322,323 305,310 447,449 410,412 237,469,472 30,42 371,473,474 289 26,27,134,168,200,300 313 11,56,108,448,502,506 399 24,385,386 445 129,183 24,81,270 82 Invertible Iteration J Jacobi Jordan form JPEG K Kalman filter Kernel Kirchhoff’s Laws Krylov L norm Lagrange multiplier Lanczos method LAPACK Leapfrog method Least squares Left nullspace 可逆的 迭代 雅可比 约当型 卡尔曼滤波器 核 基尔霍夫定律 克雷洛夫 和范数 拉格朗日乘子 兰索斯方法 线性代数软件包 跳步法 最小平方 左零空间 86,173,200,248 481,482,484,489,492 481,483,485,489 356,357,358,361,482 364,373 93,214 377,380 143,189,420,424-427 491,492 225,480 445 490,492 98,237,486 317,329 218,219,236,405,408,453 184,186,192,425 81,86,154,405 12,232,447,448,501 34,40,221,474 411 1,3 23 440 44,375-398 44,245,246 26,134,168,169,200 465 307,425,426 95 98,100,474 306 38,100 38,100 17,37,237,243,290,337,513 22,384,387 314,319,327 Left-inverse Length Line Line of springs Linear combination Linear equation Linear programming Linear transformation Linearity Linearly independent LINPACK Loop Lower triangular Lucas numbers M Maple Mathematica MATLAB Matrix(see full page 570) Matrix exponential

左逆的 长度 线 线弹簧 线性组合 线性方程 线性规划 线性变换 线性关系 线性独立 线性系统软件包 环路 下三角 卢卡斯数 矩阵 矩阵指数 5

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