Currently RQ, QL, and LQ factorizations are not included in Matlab, although these factorizations can also be done by QR function and additional matrix manipulations if matrix is square. Therefore I wrote these mex files, which uses the internal LAPACK routines of Matlab. QR1 is added to complete the set. They can also handle empty matrices. Enforcing positive elements on diagonal R matrix or column pivoting is supported by the QR1 factorization only.
Ivo Houtzager (2023). QR/RQ/QL/LQ factorizations (https://github.com/iwoodsawyer/factor/releases/tag/v184.108.40.206), GitHub. Retrieved .
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See release notes for this release on GitHub: https://github.com/iwoodsawyer/factor/releases/tag/v220.127.116.11
See release notes for this release on GitHub: https://github.com/iwoodsawyer/factor/releases/tag/v18.104.22.168
Fix copy issue in the interleaved complex LQ
Fix compiler warnings
Support for new Interleaved Complex API
Update make_factor script for mingw64 compiler to link correct blas/lapack libraries to prevent access violation error.
Add option for QR to enforce positive elements on diagonal R matrix
Added pivoting to the QR1 function using the *GEQP3 Lapack routines.
Fix crash in QL/RQ for non-sqaure matrices
Fixes for new integer data types in newer Matlab versions.
Included the updates as in the comments.
Updated for new Matlab 64 bit versions
new mex-files for R2008a