Solution of systems of linear equations (including inversion, LU and related decompositions)

blas-interface

Sebastian Ehlert (awvwgk) / blas-interface

Explicit generic Fortran interfaces to BLAS vector and matrix operations.

Uncertain: discovery classification awaiting procedure-level source review.

D D1 D1b D1b6 D2

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ddpcm

Filippo Lipparini (filippolipparini) / ddPCM

Continuum solvation by domain decomposition; formaldehyde energy and forces checked against author references.

Matching APIs: cosmo / jacobi_diis

Source-supported: pinned procedure evidence; a matching checked driver is still needed.

D D2 Z

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forinv

Ali (gha3mi) / forinv

Matrix inverses and singular-value-decomposition pseudoinverses.

Uncertain: discovery classification awaiting procedure-level source review.

D D2 D6 D9 D9c

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forlab

ZUO Zhihua (zoziha) / forlab

MATLAB/NumPy-style numerical utilities, linear algebra, interpolation and statistics.

Uncertain: discovery classification awaiting procedure-level source review.

D D1 D2 D9 D9a D9a1 E E1 L L1

Package details · Repository · Open default example

forsolver

Ali (gha3mi) / forsolver

Linear solvers and Newton-type nonlinear solvers with analytic, finite-difference and complex-step derivatives.

Uncertain: discovery classification awaiting procedure-level source review.

D D2 F F1 F1b F2 H H1

Package details · Repository · Open default example

fortran-lapack

Federico Perini (perazz) / fortran-lapack

Modern linear algebra: linear systems, eigenvalues, least squares, and matrix factorizations.

Matching APIs: solve

Verified: a checked driver demonstrates a capability in this class.

Driver demonstrates the narrower class D2a1.

D D2 D2a D2a1 D4 D4a D4a1 D5 D6 D9 D9a D9a1

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Checked drivers: fortran-lapack-dense-solve

heatflow

Exeter Quantum Codes (ExeQuantCode) / HeatFlow

Finite-difference models of Fourier and Cattaneo heat transport.

Matching APIs: SRSin / linbcg

Verified: a checked driver demonstrates a capability in this class.

D D2 I I2

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Checked drivers: heatflow-bicg-reference

kiss

Ivan Pribec (ivan-pi) / kiss

Krylov iterative solvers for dense matrices and matrix-free linear operators.

Matching APIs: cg_dense

Verified: a checked driver demonstrates a capability in this class.

Driver demonstrates the narrower class D2b1b.

D D2 D2b D2b1 D2b1b

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Checked drivers: kiss-positive-definite-solve

lightkrylov

nekStab (nekstab) / LightKrylov

Krylov methods for eigenvalues, linear systems, singular values and matrix exponentials.

Matching APIs: gmres

Verified: a checked driver demonstrates a capability in this class.

D D2 D4 D6

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Checked drivers: lightkrylov-gmres-reference

linalg

Jason Christopherson (jchristopherson) / linalg

Convenient dense and sparse linear algebra interfaces to BLAS, LAPACK and ARPACK.

Matching APIs: lu_factor, solve_lu

Verified: a checked driver demonstrates a capability in this class.

Driver demonstrates the narrower class D2a1.

D D1 D2 D2a D2a1 D3 D4 D4a D4a1 D5 D6 D9 D9a D9a1

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Checked drivers: linalg-lu-reference

linalg_fortran

Euler-37 / linalg_fortran

Typed LAPACK interfaces for matrix inverses, determinants and Hermitian eigenproblems.

Matching APIs: linalg%inv / linalg%det

Verified: a checked driver demonstrates a capability in this class.

D D2 D4 D4a D4a1

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Checked drivers: linalg-inverse-factor-reference

lsmr

Jacob Williams (jacobwilliams) / LSMR

Iterative solution of sparse linear equations and least-squares problems.

Uncertain: discovery classification awaiting procedure-level source review.

D D2 D9 D9a D9a1 K K1

Package details · Repository · Open default example

lsqr

Jacob Williams (jacobwilliams) / LSQR

Iterative sparse linear systems and least-squares solver using coordinate storage.

Uncertain: discovery classification awaiting procedure-level source review.

D D2 D9 D9a D9a1 K K1

Package details · Repository · Open default example

lusol

Jacob Williams (jacobwilliams) / lusol

Sparse LU factorization, linear solves and efficient column updates.

Matching APIs: lu1fac / lu6sol / lu8rpc

Verified: a checked driver demonstrates a capability in this class.

Driver demonstrates the narrower class D2a4.

D D2 D2a D2a4

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Checked drivers: lusol-update-reference

minres

Will Dickson (willdickson) / minres

Iterative solution of symmetric sparse systems, including indefinite matrices.

Matching APIs: minres_solver

Verified: a checked driver demonstrates a capability in this class.

Driver demonstrates the narrower class D2b4.

D D2 D2b D2b4

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Checked drivers: minres-indefinite-solve

nafpack

Jules Minard (minard-jules) / NAFPack

Numerical analysis routines for Fourier transforms, linear systems and eigenproblems.

Uncertain: discovery classification awaiting procedure-level source review.

D D2 D4 J J1 J1a J1a2

Package details · Repository · Open default example

ntpoly

william-dawson / NTPoly

Sparse matrix functions and inverse solvers; single-process MPI example.

Matching APIs: Invert

Verified: a checked driver demonstrates a capability in this class.

D D2

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Checked drivers: ntpoly-inverse-reference

qdldl-fortran

Jacob Williams (jacobwilliams) / qdldl-fortran

Sparse LDL-transpose factorization, orderings and solves for quasi-definite systems.

Matching APIs: qdldl_type%analyze / factor / solve

Verified: a checked driver demonstrates a capability in this class.

Driver demonstrates the narrower class D2b4.

D D2 D2b D2b4

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Checked drivers: qdldl-quasidefinite-solve

specialmatrices

Jean-Christophe Loiseau (loiseaujc) / SpecialMatrices

Structured diagonal, circulant, Toeplitz, tridiagonal, and other matrices.

Matching APIs: solve (diagonal matrices)

Verified: a checked driver demonstrates a capability in this class.

D D1 D2 D3

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Checked drivers: specialmatrices-diagonal-reference

stdlib

fortran-lang / stdlib

General utilities, statistics, strings, sorting, and numerical routines.

Matching APIs: solve

Verified: a checked driver demonstrates a capability in this class.

Driver demonstrates the narrower class D2a1.

A C D D1 D2 D2a D2a1 D9 D9a D9a1 L L1 L1a L1a1 L1a1a L1a1b L6 L6c N N3 N4 N5 N6 R R3

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Checked drivers: stdlib-dense-solve

y12m

Ivan Pribec (ivan-pi) / y12m

Direct sparse LU factorization with pivoting, reordering and reuse for multiple right-hand sides.

Matching APIs: y12mb, y12mc, y12md

Verified: a checked driver demonstrates a capability in this class.

Driver demonstrates the narrower class D2a4.

D D2 D2a D2a4

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Checked drivers: y12m-sparse-reference