diff options
Diffstat (limited to 'numpy/linalg/linalg.py')
| -rw-r--r-- | numpy/linalg/linalg.py | 50 |
1 files changed, 48 insertions, 2 deletions
diff --git a/numpy/linalg/linalg.py b/numpy/linalg/linalg.py index 6249a57c2..3d2d17057 100644 --- a/numpy/linalg/linalg.py +++ b/numpy/linalg/linalg.py @@ -345,6 +345,10 @@ def solve(a, b): LinAlgError If `a` is singular or not square. + See Also + -------- + scipy.linalg.solve : Similar function in SciPy. + Notes ----- @@ -502,6 +506,10 @@ def inv(a): LinAlgError If `a` is not square or inversion fails. + See Also + -------- + scipy.linalg.inv : Similar function in SciPy. + Notes ----- @@ -700,6 +708,14 @@ def cholesky(a): If the decomposition fails, for example, if `a` is not positive-definite. + See Also + -------- + scipy.linalg.cholesky : Similar function in SciPy. + scipy.linalg.cholesky_banded : Cholesky decompose a banded Hermitian + positive-definite matrix. + scipy.linalg.cho_factor : Cholesky decomposition of a matrix, to use in + `scipy.linalg.cho_solve`. + Notes ----- @@ -812,6 +828,11 @@ def qr(a, mode='reduced'): LinAlgError If factoring fails. + See Also + -------- + scipy.linalg.qr : Similar function in SciPy. + scipy.linalg.rq : Compute RQ decomposition of a matrix. + Notes ----- This is an interface to the LAPACK routines ``dgeqrf``, ``zgeqrf``, @@ -1004,6 +1025,7 @@ def eigvals(a): (conjugate symmetric) arrays. eigh : eigenvalues and eigenvectors of real symmetric or complex Hermitian (conjugate symmetric) arrays. + scipy.linalg.eigvals : Similar function in SciPy. Notes ----- @@ -1105,6 +1127,7 @@ def eigvalsh(a, UPLO='L'): eigvals : eigenvalues of general real or complex arrays. eig : eigenvalues and right eigenvectors of general real or complex arrays. + scipy.linalg.eigvalsh : Similar function in SciPy. Notes ----- @@ -1203,12 +1226,12 @@ def eig(a): See Also -------- eigvals : eigenvalues of a non-symmetric array. - eigh : eigenvalues and eigenvectors of a real symmetric or complex Hermitian (conjugate symmetric) array. - eigvalsh : eigenvalues of a real symmetric or complex Hermitian (conjugate symmetric) array. + scipy.linalg.eig : Similar function in SciPy (but also solves the + generalized eigenvalue problem). Notes ----- @@ -1355,6 +1378,8 @@ def eigh(a, UPLO='L'): (conjugate symmetric) arrays. eig : eigenvalues and right eigenvectors for non-symmetric arrays. eigvals : eigenvalues of non-symmetric arrays. + scipy.linalg.eigh : Similar function in SciPy (but also solves the + generalized eigenvalue problem). Notes ----- @@ -1506,6 +1531,11 @@ def svd(a, full_matrices=True, compute_uv=True, hermitian=False): LinAlgError If SVD computation does not converge. + See Also + -------- + scipy.linalg.svd : Similar function in SciPy. + scipy.linalg.svdvals : Compute singular values of a matrix. + Notes ----- @@ -1917,6 +1947,13 @@ def pinv(a, rcond=1e-15, hermitian=False): LinAlgError If the SVD computation does not converge. + See Also + -------- + scipy.linalg.pinv : Similar function in SciPy. + scipy.linalg.pinv2 : Similar function in SciPy (SVD-based). + scipy.linalg.pinvh : Compute the (Moore-Penrose) pseudo-inverse of a + Hermitian matrix. + Notes ----- The pseudo-inverse of a matrix A, denoted :math:`A^+`, is @@ -2079,6 +2116,7 @@ def det(a): -------- slogdet : Another way to represent the determinant, more suitable for large matrices where underflow/overflow may occur. + scipy.linalg.det : Similar function in SciPy. Notes ----- @@ -2179,6 +2217,10 @@ def lstsq(a, b, rcond="warn"): LinAlgError If computation does not converge. + See Also + -------- + scipy.linalg.lstsq : Similar function in SciPy. + Notes ----- If `b` is a matrix, then all array results are returned as matrices. @@ -2353,6 +2395,10 @@ def norm(x, ord=None, axis=None, keepdims=False): n : float or ndarray Norm of the matrix or vector(s). + See Also + -------- + scipy.linalg.norm : Similar function in SciPy. + Notes ----- For values of ``ord < 1``, the result is, strictly speaking, not a |