In this paper, the method of selecting the optimal return correlation matrix is established as follows: the eigenvalue distributions of the different return correlation matrices are compared to one of the random correlation matrices and the matrix with the maximal distribution deviation is considered as the best one.

A correlation matrix-based enhancement filter for detecting pulmonary nodules;

The concepts of optimizability and correlation matrix for the vulcanizate properties were first suggested through the single response optimization by CAD, which could describe the correlations among the vulcanizate properties, and the characteristics of the formulation system.

Process models of product design were established according to correlation matrix.

A product configuration matching degree model based on correlative matrix,modular coding and matching degree was introduced.

First, the repeating patterns are formal described and then the repeating patterns of Web information are extracted and the correlative matrix is built.

The paper constructed the smallest attribute reduction heuristic algorithm using the relation matrix of rough set and greedy strategy.

The attribute reduction in rough set is simplified the problem of the minimal covering set by constructing the relation matrix of the knowledge system.

This paper proposes a multi-objective product configuration model based on the relation matrix,an improved Analytic Hierarchy Process(AHP) is adopted to determine the weights of sub-objective functions,and an algorithm based on ant colony algorithm for Product Configuration is provided to resolve product configuration effectively.