秩分解 meaning in English

rank factorization

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。
The approach extends the parallel factor ( parafac ) analysis model from the common data - domain and subspace multiple invariance sensor array ( mi - sap ) formulations to the cumulant one , and forms three - way arrays by using the cumulant matrices got from array outputs , and analyzes the uniqueness of low - rank decomposition of the three - way arrays , then jointly estimates the ranges , frequencies and doas from the matrices via low - rank decomposition
该算法将通常在数据和子空间域应用的平行因子分析模型扩展至高阶累积量域，利用阵元输出计算的高阶累积量矩阵构造三面阵，分析了该三面阵低秩分解的唯一性，并从分解得到的多个矩阵中联合估计信源距离、频率及到达角。