block matrix factorization

基本解释

A new algorithm of solving block tridiagonal systems is proposed, which is based on the special factorization of block tridiagonal matrix.
根据块三对角矩阵的特殊分解，给出了求解块三对角方程组的新算法。
A new algorithm of solving circulant block tridiagonal systems is proposed, which is based on the special factorization of circulant block tridiagonal matrix.
本文根据分块循环三对角矩阵的特殊分解，给出了求解分块循环三对角方程组的一种新算法。
It can avoid approximate factorization or block-bidiagonal matrix, and has obvious superiority in enhancing accuracy, lessening amount of calculation, improving stability.
该方法避开了近似因子分解及矩阵运算，具有精度高、稳定性好、计算量少等优点。