First,the main procedures and the distinctive features of the most-obtuse-angle(MOA)row or column pivot rules are introduced for achieving primal or dual feasibility in linear programming.

Second, all the eigenvectors of each eigenvalue which are more ideal for the purpose of accurate scientific computation are obtained by using the thought of combining of the pivote with the method of minimum squa.

The dynamic behavior of a long span cable-stayed bridge(north bridge of Runyang Yangtse River Bridge) is calculated, the frequency response function(FRF) is compressed using principal component analysis(PCA),and the FRF is then reconstructed based on a few,principal components.

This paper presents a new method which determines the start feasible basic by means of finding main element in according to theory of linear algebra.

Application of improved principal component analysis method to mould process monitoring in continuous casting;

The application of principal component analysis on sEMG signals analysis during slips;

A method for truss structural damage detection based on principal component analysis;

"Multi-factor controlling,four-factor entrapping and key-factor enrichment" of stratigraphic-lithologic reservoirs and exploration practice in Erlian Basin (Ⅰ)——"Multi-factor controlling" mechanism;

"Multi-factor controlling,four-factor entrapping and key-factor enrichment" of stratigraphic-lithologic reservoirs and exploration practice in Erlian Basin(Ⅲ) ——"Key-factor enrichment" mechanism;