Blendenpik

A fast solver of dense rectangular dense linear equations . (least squares or underdetermined).

You are now following this Submission

This library implements a randomized algorithm for solving the least-squares equation x = arg min norm(A * x - b, 2) or the underdetermined system min(norm(x, 2)) s.t. Ax=b. With high probability the running this o(mn^2) for an m-by-n matrix.

For details of the solver see the paper at:
Blendenpik: Supercharging LAPACK's least-squares solver.
Authors: Haim Avron, Petar Maymounkov, and Sivan Toledo.

To build FFTW and/or SPIRAL WHT is needed. Extract the files and write install_blendenpik.

Cite As

Haim Avron (2026). Blendenpik (https://uk.mathworks.com/matlabcentral/fileexchange/25241-blendenpik), MATLAB Central File Exchange. Retrieved .

Categories

Find more on Mathematics and Optimization in Help Center and MATLAB Answers

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.3.0.0

Fixed a problem with 64-bit MATLAB 2009b.

1.2.0.0

Blendenpik now supports underdetermined systems too.

1.1.0.0

Corrections in README

1.0.0.0