Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical solution of partial differential equations
Numerical solution of partial differential equations
Matrix computations (3rd ed.)
Programming the Finite Element Method
Programming the Finite Element Method
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A simple algorithm for solving a cyclic block-tridiagonal system of equations is presented. Introducing a special form of a new variable, the system is split into two block-tridiagonal systems, which can be solved by known methods. Implementation details of the algorithm are discussed and numerical examples of diagonal and random generated systems are presented.