Recurrence solution of a block tridiagonal matrix equation with Neumann, Dirichlet, mixed or periodic boundary conditions

Title of program: PERDIAG
Catalogue Id: AARF_v1_0

Nature of problem
A theorist may wish to solve the matrix equation AU = W, rapidly, where A is a block tridiagonal matrix. This type of matrix equation frequently arises in the solution of problems in one space dimension; in the soluion of boundary-value and many initial-value problems (because the time-dependent problem has been formulated implicitly), where it is necessary to solve n coupled, finite difference equations. The program is capable of dealing with Neumann, Dirichlet, mixed or periodic boundary condi ...

Versions of this program held in the CPC repository in Mendeley Data
AARF_v1_0; PERDIAG; 10.1016/0010-4655(81)90092-8

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

程序名称：PERDIAG
目录编号：AARF_v1_0

问题属性
理论研究者常需快速求解形如$AU=W$的矩阵方程，其中$A$为块三对角矩阵（block tridiagonal matrix）。此类矩阵方程频繁出现于一维空间问题的求解场景中，以及边值问题与多初值问题的求解过程——这类时变问题通常采用隐式格式建模，此时需求解$n$个耦合的有限差分方程。本程序可处理诺依曼（Neumann）、狄利克雷（Dirichlet）、混合或周期性边界条件……

孟德尔莱数据（Mendeley Data）的CPC存储库中收录的本程序版本：
AARF_v1_0; PERDIAG; 10.1016/0010-4655(81)90092-8

本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2018年）