triangular decomposition

The coefficient matrix of the linear equations is nonpositive definite because of the restrictions, but we prove the leading principal minors of the matrix do not equal zero and the triangular decomposition or Gaussian elimination can be used to the linear equations.

由于约束条件的缘故，导出的线性方程组的系数矩阵不是正定的，但本文证明了它的各阶顺序主子式不等于零，从而可用三角分解法或高斯消去法。

Application of Triangular Decomposition in Linear Equations Adopting Numerical Method Decomposed Multi-blocks

程序中三角化分解分块法在线性方程组中的应用

The solution effect of the ill-conditioned equation and orthogonal triangular decomposition

方程病态及正交三角分解解算效果

Improvement on the Fast Algorithm for Triangular Decomposition of Hankel Matrix and Its Inverse Matrix

Hankel矩阵及其逆矩阵的快速三角分解算法的改进

For this large-scale non-linear equation, a blocked parallel algorithm for the power flow Jacobi matrix equation is designed based on the parallel triangular decomposition.

对于这一大规模的非线性方程，文中设计了求解潮流计算的雅可比矩阵方程的并行算法，即结合并行化三角分解法的分块法。

Triangular decomposition of a class of real matrixes

一类实矩阵的三角分解

Triangular Decomposition of Vandermonde Matrix

范德蒙矩阵的三角分解

Elementary transformation method of full rank decomposition of matrix and triangular decomposition of strongly full rank matrix

矩阵的满秩分解和强满秩矩阵的三角分解的初等变换法