This paper proposed a MATLAB implementation algorithm in computer for searching all feedback loops based on the branch vector matrix of rate variable fundamental in-tree and strongly simplified rate variable fundamental in-tree.

Then, on the basis of the concept of branch vector and its computation, a branch vector matrix approach to feedback loop analysis is proposed.

Access control based on vector matrix and its implementation;

A new algorithm FIS-Miner(Frequent Item Sets Miner) is presented for discovering frequent item sets to decrease candidate generation based on vector matrix.

The reversible integer DCT is introduced into the image coding-decoding in order to implement the several generations of coding-decoding without quality degradation due to the perfect reversibility of vector matrix and the idempotent property of the quantization.