Study On The Theories Of Real Row Positive Definite Matrix

In1970, C.R.Johnson put forward the concept of asymmetric positive definite matrix,then it has become one of the most important and active research fields of appliedmathematics increasingly. In1990, Tu Boxun proposed the concept of sub-positive definitematrix on that basis, and had done a detailed study. In this dissertation, based on the newconcept of the row positive definite matrix by using the theories of subpositive definite matrix,we deeply study the row positive definite matrix, give some properties and equivalenceconditions and sufficient conditions about row positive definite matrix, and popularize thewellknown determinant inequality about the positive definite matrices that are Hadamard,Minkowski, Oppenheim, Ostrowski-Taussky etc to row positive definite matrix.