Several Determination Method Of Nonsingular H- Matrices

With the rapid development of matrix analysis theory, the popularity of computer and the progress of science and technology, matrix is widely used in computational mathematics, quantitative economics, control science, etc. Especially large solving high order sparse linear algebra equation, whether the coefficient matrix is nonsingular matrix plays a key role to linear algebraic equations. However, it is difficult to judge whether a high-order matrix is nonsingular matrix. Because of this, in recent years, many scholars at home and abroad on the properties and judgment of the matrix have done a lot of research and also made some important achievements.Based on existing research results and self-contained elements of matrix anchored, according to the diagonally dominant matrix, irreducible diagonally dominant matrix, diagonally dominant matrix with nonzero elements chain and the characters of diagonally dominant matrices, Selecting different positive diagonal matrix factors and combining with inequality techniques, this paper gives several practical judgment of nonsingular matrix, thus extending and improving some existing results.