Approximate inverses of multidiagonal matrices and application to the block PCG method
The authors consider the \(p\)-order truncated elimination to compute approximate inverse matrices of diagonally dominant matrices. For \(p\) a positive integer, the \(p\)-order truncated elimination neglects all the increments of order \(S\) when \(S > p\) in the process of the elimination which results in the \(p\)-order approximate inverse matrix for a multidiagonal band matrix. This method is applied to block preconditioned conjugate gradient method calculations. Numerical examples are given to show the good behavior of the method.
block preconditioned conjugate gradient method
scientific article; zbMATH DE number 773823