MATLAB 内置符号运算函数

发布时间 : 星期二 文章MATLAB 内置符号运算函数更新完毕开始阅读

ztrans::addpattern

Add patterns for the Z transform

transform::fourier::addpatternAdd patterns for the Fourier transform

transform::invfourier::addpatternAdd patterns for the inverse Fourier transform transform::laplace::addpatterntransform::ztrans::addpatternProperties and Assumptions assume

Add patterns for the Laplace transform

transform::invlaplace::addpatternAdd patterns for the inverse Laplace transform

Add patterns for the Z transform

transform::invztrans::addpatternAdd patterns for the inverse Z transform

Define a property

assumeAlsoassuminggetprop

Define a property without removing prior assumptions Evaluate under assumptions

assumingAlsois

Evaluate under additional assumptions Query properties of expressions

Check a mathematical property of an expression Generic zero test

iszero

property::dependsproperty::haspropunassume

Dependence table with all properties of an expression Does an object have properties?

property::showprops

What assumptions are made? Delete the properties of an identifier

Linear Algebra

Matrix and Vector Construction array

Create an array

hfarrayCreate an array of hardware floats

densematrixdoprintmatrix

Create a matrix or a vector Print large matrices Create a matrix or a vector

linalg::hessenberglinalg::hessian

Hessenberg matrix

Hessian matrix of a scalar function Hilbert matrix

Inverse of a Hilbert matrix Inverse of a Pascal matrix

Jacobian matrix of a vector function Pascal matrix

linalg::hilbert

linalg::invhilbertlinalg::invpascallinalg::jacobian

linalg::pascal

linalg::randomMatrixlinalg::toeplitz

Generate a random matrix Toeplitz matrix

Vandermonde matrices and their inverses

12

linalg::vandermonde

linalg::invvandermondelinalg::wiedemann

Vandermonde matrices and their inverses Solving linear systems by Wiedemann's algorithm Matrix Operations and Transformations linalg::addCol

linalg::addRowlinalg::col

linalg::delCol

linalg::delRow

linalg::multCollinalg::multRowlinalg::row

linalg::setCol

linalg::setRow

linalg::swapCollinalg::swapRowinverse

transpose

htranspose

linalg::pseudoInversenumeric::inverselllint

norm

linalg::concatMatrixlinalg::crossProductlinalg::kroneckerProduct

linalg::normalizelinalg::ogCoordTab

linalg::orthog

linalg::scalarProductlinalg::stackMatrix

linalg::submatrixlinalg::substitutelinalg::sylvester

numeric::expMatrixnumeric::fMatrix

numeric::rotationMatrixlinalg::htransposelinalg::transpose

Linear combination of matrix columns

Linear combination of matrix rows Extract columns of a matrix Delete matrix columns

Delete matrix rows

Multiply columns with a scalar Multiply rows with a scalar Extract rows of a matrix Change a column of a matrix

Change a row of a matrix

Swap two columns in a matrix Swap two rows in a matrix Inverse of a matrix Transpose of a matrix

The Hermitean transpose of a matrix

Moore-Penrose inverse of a matrix Inverse of a matrix

Compute an LLL-reduced basis of a lattice

Compute the norm of a matrix, a vector, or a polynomial

Join matrices horizontally

Cross product of three-dimensional vectors

Kronecker product of matrices Normalize a vector

Table of orthogonal coordinate transformations Orthogonalization of vectors Scalar product of vectors Join matrices vertically

Extract a submatrix or a subvector from a matrix or a vector, respectively

Replace a part of a matrix by another matrix Sylvester matrix of two polynomials

Exponential of a matrix

Functional calculus for numerical square matrices

Orthogonal matrix of the rotation about an axis Hermitean transpose of a matrix Transpose of a matrix

13

Matrix Analysis curldet

Curl of a vector field Determinant of a matrix

divergencegradienthessian

Divergence of a vector field Vector gradient

Hessian matrix of a scalar function Jacobian matrix of a vector function

jacobiannorm

laplacian

The Laplacian

Compute the norm of a matrix, a vector, or a polynomial

potentialThe (scalar) potential of a gradient field

vectorPotentialnumeric::det

Vector potential of a three-dimensional vector field Determinant of a matrix Adjoint of a matrix Angle between two vectors Characteristic matrix Condition number of a matrix

linalg::adjointlinalg::angle

linalg::charmatlinalg::cond

linalg::isHermiteanlinalg::isPosDeflinalg::ncols

Checks whether a matrix is Hermitean Test a matrix for positive definiteness Test whether a matrix is unitary Number of columns of a matrix

Number of non-zero elements of a matrix Number of rows of a matrix Permanent of a matrix Square root of a matrix Trace of a matrix Type specifier for vectors Curl of a vector field Determinant of a matrix Divergence of a vector field Vector gradient Vector gradient

linalg::isUnitary

linalg::nonZeros

linalg::nrows

linalg::permanent

linalg::sqrtMatrix

linalg::tr

linalg::vectorOf

linalg::curl

linalg::det

linalg::divergencelinalg::grad

linalg::gradient

linalg::laplacian

The Laplacian

linalg::potentialThe (scalar) potential of a gradient field

linalg::vectorPotentiallinalg::basis

Vector potential of a three-dimensional vector field Basis for a vector space

Vector Spaces and Subspaces

linalg::gaussElimlinalg::intBasis

Gaussian elimination

linalg::gaussJordan

Gauss-Jordan elimination

Basis for the intersection of vector spaces

14

linalg::matdim

Dimension of a matrix Number of rows of a matrix

linalg::nrows

linalg::nullspacelinalg::rank

Basis for the null space of a matrix Rank of a matrix

Basis for the sum of vector spaces Number of components of a vector Numerical estimate of the rank of a matrix linalg::sumBasis

linalg::vecdim

numeric::rank

Eigenvalues and Eigenvectors linalg::eigenvalues

linalg::eigenvectorsnumeric::eigenvalues

numeric::eigenvectorslinalg::jordanForm

numeric::spectralRadiusnumeric::spectralradiusMatrix Decomposition linalg::factorCholeskylinalg::factorLU

linalg::factorQR

linalg::frobeniusForm

linalg::hermiteFormlinalg::inverseLU

linalg::jordanFormlinalg::smithForm

numeric::factorCholeskynumeric::factorLU

numeric::factorQR

numeric::singularvaluesnumeric::singularvectors

numeric::svdLinear Equations det

norm

linalg::condlinalg::matlinsolvelinalg::matlinsolveLUlinalg::rank

linalg::toeplitzSolve

linalg::vandermondeSolve

Eigenvalues of a matrix

Eigenvectors of a matrix

Numerical eigenvalues of a matrix

Numerical eigenvalues and eigenvectors of a matrix Jordan normal form of a matrix

Spectral radius of a matrix Spectral radius of a matrix

The Cholesky decomposition of a matrix LU-decomposition of a matrix QR-decomposition of a matrix

Frobenius form of a matrix Hermite normal form of a matrix

Computing the inverse of a matrix using LU-decomposition Jordan normal form of a matrix Smith canonical form of a matrix

Cholesky factorization of a matrix LU factorization of a matrix QR factorization of a matrix

Numerical singular values of a matrix

Numerical singular value decomposition of a matrix Numerical singular value decomposition of a matrix Determinant of a matrix

Compute the norm of a matrix, a vector, or a polynomial

Condition number of a matrix

Solving systems of linear equations

Solving the linear system given by an LU decomposition Rank of a matrix

Solve a linear Toeplitz system

Solve a linear Vandermonde system

15

联系合同范文客服:xxxxx#qq.com(#替换为@)