Sparse QR Decomposition (sksparse.spqr)

Added in version 0.5.0.

An interface to the SuiteSparse SPQR package, which computes the QR factorization and solves systems of equations for sparse, possibly non-square, non-symmetric, indefinite matrices.

Function Interface

spqr	Compute the QR factorization.
spqr_qmult	Multiply by Q using the Householder representation.
spqr_solve	Solve a linear system using the SPQR factorization.
SPQRHouseholder	A class to hold the Householder representation of Q.

Object Interface

spqr_factor	Compute the SPQR factorization of a sparse matrix.
SPQRFactor	The main object used for creating and manipulating SPQR factorizations.
SPQRInfo	A dataclass to hold SPQR info statistics.

Warnings and Exceptions

SPQRWarning	Base class for SPQR warnings.
SPQRRankDeficiencyWarning	Raised when SPQR detects a rank-deficient matrix.
SPQRError	Base class for SPQR exceptions.
SPQRNotInstalledError	Raised when the SPQR library is not installed.
SPQROutOfMemoryError	Raised when SPQR runs out of memory.
SPQROverflowError	Raised when SPQR encounters an integer overflow.
SPQRInvalidInputError	Raised when SPQR receives invalid input.
SPQRGpuProblemError	Raised when SPQR encounters a problem with CUDA.

References

• SuiteSparse homepage

• SuiteSparse SPQR