Here x in A x = d is solved. the meaning of a b c in thomaxsolver.py is the same as those in wiki, that is c is upper diagonal. Note that: a b c have the same dimension and they are all zero-based in ...

python computational-physics fourier eigenvectors numerical-methods eigenvalues runge-kutta newton-method crank-nicolson machine-epsilon tridiagonal-matrix-algorithm Updated on Oct 31, 2023 Python ...

AUTHORS: Moawwad El-Mikkawy, Faiz Atlan KEYWORDS: Tridiagonal Matrix; Permutation Matrix; Algorithm; MAPLE JOURNAL NAME: Applied Mathematics, Vol.5 No.3, February 11, 2014 ABSTRACT: Numeric algorithms ...

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 ...

Computing eigenpairs of a symmetric matrix is a problem arising in many industrial applications, including quantum physics and finite-elements computation for automobiles. A classical approach is to ...

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 systems on the ...

The convergence of diagonal elements of an irreducible symmetric tridiagonal matrix under QL algorithm with some kinds of shift is discussed. It is proved that if α₁—σ→0 and βj→0, j = 1, 2, ···, m, ...