Module SciPy.​linalg.​info

Linear algebra routines

Linear Algebra Basics:

inv --- Find the inverse of a square matrix solve --- Solve a linear system of equations solve_banded --- Solve a linear system of equations with a banded matrix solveh_banded --- Solve a linear system of equations with a Hermitian or symmetric banded matrix, returning the Cholesky decomposition as well det --- Find the determinant of a square matrix norm --- matrix and vector norm lstsq --- Solve linear least-squares problem pinv --- Pseudo-inverse (Moore-Penrose) using lstsq pinv2 --- Pseudo-inverse using svd

Eigenvalues and Decompositions:

eig --- Find the eigenvalues and vectors of a square matrix eigvals --- Find the eigenvalues of a square matrix eig_banded --- Find the eigenvalues and vectors of a band matrix eigvals_banded --- Find the eigenvalues of a band matrix lu --- LU decomposition of a matrix lu_factor --- LU decomposition returning unordered matrix and pivots lu_solve --- solve Ax=b using back substitution with output of lu_factor svd --- Singular value decomposition of a matrix svdvals --- Singular values of a matrix diagsvd --- construct matrix of singular values from output of svd orth --- construct orthonormal basis for range of A using svd cholesky --- Cholesky decomposition of a matrix cholesky_banded --- Cholesky decomposition of a banded symmetric or Hermitian matrix cho_factor --- Cholesky decomposition for use in solving linear system cho_solve --- Solve previously factored linear system qr --- QR decomposition of a matrix schur --- Schur decomposition of a matrix rsf2csf --- Real to complex schur form hessenberg --- Hessenberg form of a matrix

matrix Functions:

expm --- matrix exponential using Pade approx. expm2 --- matrix exponential using Eigenvalue decomp. expm3 --- matrix exponential using Taylor-series expansion logm --- matrix logarithm cosm --- matrix cosine sinm --- matrix sine tanm --- matrix tangent coshm --- matrix hyperbolic cosine sinhm --- matrix hyperbolic sine tanhm --- matrix hyperbolic tangent signm --- matrix sign sqrtm --- matrix square root funm --- Evaluating an arbitrary matrix function.

Iterative linear systems solutions

cg --- Conjugate gradient (symmetric systems only) cgs --- Conjugate gradient squared qmr --- Quasi-minimal residual gmres --- Generalized minimal residual bicg --- Bi-conjugate gradient bicgstab --- Bi-conjugate gradient stabilized