This paper gives the sufficient and necessary condition for simultaneously congruent diagonalization of two nxn symmetric matrices over the field F whose characteristic isn t equal to 2 and proves that two 2×2 symmetric matrices with rank 1 can be simultaneously congruent diagonalizable.

The distance and diagonalization of symmetric matrices over a principal ideal domain;

The purpose of this paper is to survey the results of the study:(i)congruence canonical forms of the positive (semi)definite real matrix and matrix couples and simultaneous diagonalization of two matrices;(ii)the H- congruence canonical forms of the positive (semi)definite complex matrix and matrix couples and simultaneous diagonalization of two matrices.

Several theorems about simultaneous diagonalization of two and more quaternion normal matrices are obtained.

Two efficient algorithms for joint diagonalization with exception of the singular solution

Improved joint diagonalization algorithm with low computational load

A non-unitary joint diagonalization method was proposed to estimate the two-dimension(2D) direction of arrival(DOA) embedded in additive Gaussian noise.

This paper firstly indicates the importance of the construction project management (PM) integrative contract design in china, and then points out the demands and principles of it.