polar-decomp-3by3 - MATLAB code for polar decomposition of a real 3-by-3 matrix

About

polar-decomp-3by3 contains a MATLAB function polar_quaternion for computing the polar decomposition of a real 3-by-3 matrix. This decomposition has the form A = Q*H, where Q is orthogonal and H is symmetric positive semidefinite. The underlying algorithm is developed in the open-access paper

N. J. Higham and V. Noferini. "An algorithm to compute the polar decomposition of a $3 \times 3$ matrix". Numer. Algorithms, 73(2):349-369, 2016.

The function test.m tests that the code is working correctly.

Requirements

The codes have been developed under MATLAB 2016a and have been tested with MATLAB 2016b.

License

See license.txt for licensing information.