PaScaL_TDMA 2.0: Parallel and Scalable Library for TriDiagonal Matrix Algorithm PaScaL_TDMA provides an efficient and scalable computational procedure to solve many tridiagonal systems in ...

Abstract: The solution of tridiagonal linear systems is used in in various fields and plays a crucial role in numerical simulations. However, there is few efficient solver for tridiagonal linear ...

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ABSTRACT: In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bordered tridiagonal linear systems. An explicit formula for computing ...

ABSTRACT: In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bordered tridiagonal linear systems. An explicit formula for computing ...

In this section, we adapt the orthogonal transformation introduced in to the case where the starting matrix is symmetrical. Any orthogonal transformation Q T AQ of the matrix A then remains ...

This paper develops an algorithm to calculate the Brownian multivariate normal probability subject to any preset error tolerance criteria. The algorithm is founded ...