Repository owner: Ali (gha3mi)

forinv

Matrix inverses and singular-value-decomposition pseudoinverses.

Repository · Pinned source (80b5dbed9709) · Try in playground · Checked package example

GAMS classifications

About this package

Category: Linear algebra
License: BSD-3-Clause

Topics: fortran, fortran-package-manager, inverse, linear-algebra, matrix-inverse, pseudoinverse, svd

Package dependencies

Resolved GitHub repositories used by the verified playground build, combining direct and indirect dependencies. This list does not describe internal module dependencies or native system libraries.

Required by this build

forsvd · source at f39bba7afcb0
fortime · source at de733e2c7754 — differs from the selected catalog revision
kinds · source at 811cfba1a35f
szaghi/FACE · source at b20893e48518

Build record verified 2026-10-28.

Used by (0 selected packages)

No other selected build records this repository as a dependency. This is not a measure of usage outside the catalog.

Reviewed procedures

These mappings have pinned source evidence. A checked package example may exercise only some of them; source review is not a numerical benchmark.

inv (SVD pseudoinverse)

Module: forinv

D9c

D9c: verified

Derivatives / callbacks: not applicable

Moore-Penrose inverse with an explicit singular-value cutoff for rank-deficient input. Dedicated D9c driver checks five explicit known pseudoinverses (rank-one tall, full-rank tall/wide, singular diagonal, zero), all four Moore-Penrose identities and the rank-one minimum-norm solution (0.2,0.4). Uses method=gesvd and absolute cutoff 1e-10. Original matrices are preserved because the pinned ForSVD dependency can overwrite input. Other methods, cutoff selection, ill-conditioning and near-threshold ranks are not verified.

Pinned source: src/forinv.f90

Author examples/tests: test/test1.f90

Load checked GAMS driver: gams-forinv-pseudoinverse-reference