MATLAB Programs for

MATLAB Programs for New Results on Hermitian Matrix Rank-One Decomposition (to appear in Mathematical Programming)

Yongwei Huang and Shuzhong Zhang

August 2009

This website provides MATLAB programs for implementing several rank-one
decomposition theorems which are summarized in New Results on Hermitian
Matrix Rank-One Decomposition by Ai, Huang and Zhang.

We invite the users to freely use the programs, test them, and
report any problems arising in your experiment to the authors.

Please read the message at the beginning of each m-file for a brief
user's guide.

1. Program for Proposition 3.2: fcndcmps12.m.

    2. Programs for Theorem 2.1: main program fcndcmps13.m, with the additional m-files saved in the same directory:
         (1) fcndcmps12.m
         (2) solneqnsys.m
         (3) solneqn3.m
         (4) solneqnsys3.m

    3. Programs for Theorem 2.2: main program fcndcmps13_3n.m, with the additional m-files saved in the same directory:
         (1) fcndcmps12.m
         (2) fcndcmps13.m
         (3) solneqn3.m
         (4) solneqnsys.m
         (5) solneqnsys3.m
         (6) soln_1eqn_3n.m
         (7) soln_2eqns_3n.m
         (8) soln_3eqns_3n2.m
         (9) soln_3eqns_3n3.m

    4. Programs for Theorem 2.3: main program fcndcmps14.m, with the additional m-files saved in the same directory:
         (1) fcndcmps12.m
         (2) fcndcmps13.m
         (3) solneqn3.m
         (4) solneqnsys.m
         (5) solneqnsys3.m
         (6) soln_1eqn_3n.m
         (7) soln_2eqns_3n.m
         (8) soln_3eqns_3n2.m
         (9) soln_3eqns_3n3.m
         (10) fcndcmps13_3n.m

If you use our programs in your teaching or research, please consider to give a
reference to this website.