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Álgebra lineal

Ecuaciones lineales, valores propios, valores singulares, descomposición, operaciones con matrices, estructura de la matriz

Con las funciones de álgebra lineal de MATLAB®,可能realizar这种矩阵快车y numéricamente robustos. Las funcionalidades incluyen una gran variedad de factorizaciones de matrices, resolución de ecuaciones lineales y cálculos de valores propios o valores singulares, entre otras. Para ver una introducción, consulteMatrices en el entorno MATLAB.

Funciones

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mldivide Solve systems of linear equationsAx = Bforx
mrdivide Solve systems of linear equationsxA = Bforx
decomposition Matrix decomposition for solving linear systems
lsqminnorm Minimum norm least-squares solution to linear equation
linsolve Solve linear system of equations
inv Inversa de la matriz
pinv Moore-Penrose pseudoinverse
lscov Least-squares solution in presence of known covariance
lsqnonneg Solve nonnegative linear least-squares problem
sylvester Solve Sylvester equationAX + XB = CforX
eig Eigenvalues and eigenvectors
eigs Subset of eigenvalues and eigenvectors
balance Diagonal scaling to improve eigenvalue accuracy
svd Singular value decomposition
pagesvd Page-wise singular value decomposition
圣言会 Subset of singular values and vectors
圣言会ketch Compute SVD of low-rank matrix sketch
gsvd Generalized singular value decomposition
ordeig Eigenvalues of quasitriangular matrices
ordqz Reorder eigenvalues in QZ factorization
ordschur Reorder eigenvalues in Schur factorization
polyeig Polynomial eigenvalue problem
qz QZ factorization for generalized eigenvalues
hess Hessenberg form of matrix
schur Schur decomposition
rsf2csf Convert real Schur form to complex Schur form
cdf2rdf Convert complex diagonal form to real block diagonal form
lu LU matrix factorization
ldl Block LDL' factorization for Hermitian indefinite matrices
chol Cholesky factorization
cholupdate Rank 1 update to Cholesky factorization
qr QR decomposition
qrdelete Remove column or row from QR factorization
qrinsert Insert column or row into QR factorization
qrupdate Rank 1 update to QR factorization
planerot Givens plane rotation
transpose Transponga un vector o una matriz
ctranspose Complex conjugate transpose
pagetranspose Page-wise transpose
pagectranspose Page-wise complex conjugate transpose
mtimes Matrix multiplication
pagemtimes Page-wise matrix multiplication
mpower Matrix power
sqrtm Matrix square root
expm Matrix exponential
logm Matrix logarithm
funm Evaluate general matrix function
kron Kronecker tensor product
cross Cross product
dot Dot product
bandwidth Lower and upper matrix bandwidth
tril Lower triangular part of matrix
triu Upper triangular part of matrix
isbanded Determine if matrix is within specific bandwidth
isdiag Determine if matrix is diagonal
ishermitian Determine if matrix is Hermitian or skew-Hermitian
issymmetric Determine if matrix is symmetric or skew-symmetric
istril Determine if matrix is lower triangular
istriu Determine if matrix is upper triangular
norm Normas de vectores y matrices
normest 2-norm estimate
vecnorm Vector-wise norm
cond Condition number for inversion
condest 1-norm condition number estimate
rcond Reciprocal condition number
condeig Condition number with respect to eigenvalues
det Matrix determinant
null Null space of matrix
orth Orthonormal basis for range of matrix
rank Rank of matrix
rref Reduced row echelon form (Gauss-Jordan elimination)
trace Sum of diagonal elements
subspace Angle between two subspaces

Temas