The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Abstract: Orthonormal eigenvectors are efficiently generated for the DFT-IV matrix G by a detailed eigenanalysis of a nearly tridiagonal matrix S which commutes with matrix G. Matrix S is reduced to a ...

Toeplitz tridiagonal matrix; Crout’s method; tridiagonal and diagonally dominant matrix For example, in Meurant’s paper 16 some results concerning the characterization of inverses of symmetric ...

Matrix classes for matrices that are block-tridiagonal and sparse, and simply "block sparse". These talk together, and furthermore containts an algorithm for inversion of the block-tridiagonal version ...

Still amazed about how Keanu Reeves dodged those bullets after all those years? A newbie and you want to watch a classic action trilogy that will give you a perfect combination of action, philosophy, ...

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 the ...

A new method for solving the 1D Poisson equation is presented using the finite difference method. This method is based on the exact formulation of the inverse of the tridiagonal matrix associated with ...

Abstract: We discuss the parallel implementation of the Cholesky factorization of a positive definite symmetric matrix when that matrix is block tridiagonal. While parallel implementations for this ...