Module lapack 

Native LAPACK

Each function names the LAPACK routine it follows, so it can be checked against the reference source of the same name (LAPACK 3.12.1’s SRC/ and BLAS/SRC/).

What is here

Every routine the crate’s public API needs has a native implementation. This table says where each one lives; the module’s own doc comment gives its pipeline.

Routine	Where
dgetrf LU with partial pivoting	dgetrf
dgetri inverse from LU	dgetri
dgesv solve A X = B	dgesv
dpotrf Cholesky	dpotrf
dlange matrix norms	super::blas::dlange
dsyev symmetric eigen-decomposition	sym
dgeev general eigen-decomposition	eig
dgesvd real SVD	svd
dggev generalized eigen-decomposition (QZ)	qz
zgetrf, zgetri, zgesv, zpotrf	complex
zheev, zgeev	zeig
zgesvd complex SVD	zsvd
zggev complex QZ	qz

LapackError::NotImplemented is retained, and no routine returns it: a caller that reaches a routine with no native path still gets a runtime error naming the feature to enable rather than a link error, and a routine that is reverted keeps its error handling.

Conventions

• Column-major, data[i + j * n], matching crate::Matrix.
• 0-based indices and usize lengths. LAPACK’s 1-based indices and its lda/lwork arguments are Fortran artifacts, not part of the math, so they do not appear here; the leading dimension of an n x n matrix is n.
• Workspace is allocated inside each routine.
• A driver returns Result<(), LapackError>, never LAPACK’s integer INFO: INFO < 0 (an illegal argument) and INFO > 0 (non-convergence, or a back-substitution failure) both become LapackError, so no caller has to remember which integer means what. Internal helpers still return INFO, because that is what the reference source says and what a diff against it should show; the drivers translate it at the boundary.

Re-exports

pub use super::blas::dlange;

Modules

complex

Native complex LAPACK

eig

Native real eigen-decompositions: dgeev and the pieces it is built from.

qz

The generalized eigenproblem A v = lambda B v for real and complex matrices: the QZ algorithm.

svd

Native singular value decomposition: dgesvd and the unblocked pieces it is built from.

sym

Native symmetric eigen-decomposition: dsyev and the pieces it is built from.

zeig

Native complex Hermitian eigen-decomposition: zheev and the unblocked pieces it is built from.

zsvd

Native complex singular value decomposition: zgesvd and the unblocked pieces it is built from.

Enums

LapackError

Error kinds these routines can report.

Constants

ZERO_DETERMINANT

Value below which a pivot counts as zero.

Functions

dgesv

dgesv: solve A X = B for a single right-hand side.

dgetrf

dgetrf: LU factorization with partial pivoting, in place.

dgetrf_rect

dgetrf_rect: LU factorization of a rectangular panel with partial pivoting.

dgetri

dgetri: inverse of a matrix from its dgetrf factorization, in place.

dpotrf

dpotrf: Cholesky factorization A = L L^T, lower triangle, in place.

norm_char

The BLAS norm character for a crate::Norm discriminant.

not_implemented

Error used when a routine has no native implementation yet.