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.
根據塊三對角矩陣的特殊分解，給出了求解塊三對角方程組的新算法。
A new algorithm of solving circulant block tridiagonal systems is proposed, which is based on the special factorization of circulant block tridiagonal matrix.
本文根據分塊循環三對角矩陣的特殊分解，給出了求解分塊循環三對角方程組的一種新算法。
It can avoid approximate factorization or block-bidiagonal matrix, and has obvious superiority in enhancing accuracy, lessening amount of calculation, improving stability.
該方法避開了近似因子分解及矩陣運算，具有精度高、穩定性好、計算量少等優點。