rank factorization meaning in English

秩分解

The concept of row ( column ) transposed matrix and row ( column ) symmetric matrix is given , their basic property is studied , and the formula for full rank factorization and orthogonal diagonal factorization of row ( column ) symmetric matrix are presented , which can reduce dramatically the amount of calculation and save the cpu time and memory without loss of any numerical precision
摘要提出了行（列）转置矩阵与行（列）对称矩阵的概念，研究了其性质，给出了行（列）对称矩阵的满秩分解和正交时角分解公式，极大地减少了行（列）对称矩阵的满秩分解和正交对角分解的计算量与存储量，且没有降低数值精度。