inv (a[, overwrite_a]) | Compute the inverse of a matrix. |
solve (a, b[, sym_pos, lower, ...]) | Solve the equation a x = b for x |
solve_banded ((l, u), ab, b[, overwrite_ab, overwrite_b, ...]) | Solve the equation a x = b for x, assuming a is banded matrix. |
solveh_banded (ab, b[, overwrite_ab, overwrite_b, ...]) | Solve equation a x = b. a is Hermitian positive-definite banded matrix. |
det (a[, overwrite_a]) | Compute the determinant of a matrix |
norm (a[, ord]) | Matrix or vector norm. |
lstsq (a, b[, cond, overwrite_a, ...]) | Compute least-squares solution to equation Ax = b. |
pinv (a[, cond, rcond]) | Compute the (Moore-Penrose) pseudo-inverse of a matrix. |
pinv2 (a[, cond, rcond]) | Compute the (Moore-Penrose) pseudo-inverse of a matrix. |
eig (a[, b, left, right, ...]) | Solve an ordinary or generalized eigenvalue problem of a square matrix. |
eigvals (a[, b, overwrite_a]) | Compute eigenvalues from an ordinary or generalized eigenvalue problem. |
eigh (a[, b, lower, eigvals_only, ...]) | Solve an ordinary or generalized eigenvalue problem for a complex Hermitian or real symmetric matrix. |
eigvalsh (a[, b, lower, overwrite_a, ...]) | Solve an ordinary or generalized eigenvalue problem for a complex Hermitian or real symmetric matrix. |
eig_banded (a_band[, lower, eigvals_only, ...]) | Solve real symmetric or complex hermitian band matrix eigenvalue problem. |
eigvals_banded (a_band[, lower, overwrite_a_band, ...]) | Solve real symmetric or complex hermitian band matrix eigenvalue problem. |
lu (a[, permute_l, overwrite_a]) | Compute pivoted LU decompostion of a matrix. |
lu_factor (a[, overwrite_a]) | Compute pivoted LU decomposition of a matrix. |
lu_solve ((lu, piv), b[, trans, overwrite_b]) | Solve an equation system, a x = b, given the LU factorization of a |
svd (a[, full_matrices, compute_uv, ...]) | Singular Value Decomposition. |
svdvals (a[, overwrite_a]) | Compute singular values of a matrix. |
diagsvd (s, M, N) | Construct the sigma matrix in SVD from singular values and size M,N. |
orth (A) | Construct an orthonormal basis for the range of A using SVD |
cholesky (a[, lower, overwrite_a]) | Compute the Cholesky decomposition of a matrix. |
cholesky_banded (ab[, overwrite_ab, lower]) | Cholesky decompose a banded Hermitian positive-definite matrix |
cho_factor (a[, lower, overwrite_a]) | Compute the Cholesky decomposition of a matrix, to use in cho_solve |
cho_solve ((c, lower), b[, overwrite_b]) | Solve the linear equations A x = b, given the Cholesky factorization of A. |
cho_solve_banded ((cb, lower), b[, overwrite_b]) | Solve the linear equations A x = b, given the Cholesky factorization of A. |
qr (a[, overwrite_a, lwork, ...]) | Compute QR decomposition of a matrix. |
schur (a[, output, lwork, overwrite_a]) | Compute Schur decomposition of a matrix. |
rsf2csf (T, Z) | Convert real Schur form to complex Schur form. |
hessenberg (a[, calc_q, overwrite_a]) | Compute Hessenberg form of a matrix. |
expm (A[, q]) | Compute the matrix exponential using Pade approximation. |
expm2 (A) | Compute the matrix exponential using eigenvalue decomposition. |
expm3 (A[, q]) | Compute the matrix exponential using Taylor series. |
logm (A[, disp]) | Compute matrix logarithm. |
cosm (A) | Compute the matrix cosine. |
sinm (A) | Compute the matrix sine. |
tanm (A) | Compute the matrix tangent. |
coshm (A) | Compute the hyperbolic matrix cosine. |
sinhm (A) | Compute the hyperbolic matrix sine. |
tanhm (A) | Compute the hyperbolic matrix tangent. |
signm (a[, disp]) | Matrix sign function. |
sqrtm (A[, disp]) | Matrix square root. |
funm (A, func[, disp]) | Evaluate a matrix function specified by a callable. |
block_diag (*arrs) | Create a block diagonal matrix from the provided arrays. |
circulant (c) | Construct a circulant matrix. |
companion (a) | Create a companion matrix. |
hadamard (n[, dtype]) | Construct a Hadamard matrix. |
hankel (c[, r]) | Construct a Hankel matrix. |
kron (a, b) | Kronecker product of a and b. |
leslie (f, s) | Create a Leslie matrix. |
toeplitz (c[, r]) | Construct a Toeplitz matrix. |
tri (N[, M, k, dtype]) | Construct (N, M) matrix filled with ones at and below the k-th diagonal. |
tril (m[, k]) | Construct a copy of a matrix with elements above the k-th diagonal zeroed. |
triu (m[, k]) | Construct a copy of a matrix with elements below the k-th diagonal zeroed. |