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 ...

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 ...

This paper presents a novel two-dimensional real-time modeling approach for a proton exchange membrane fuel cell (PEMFC) based on a tridiagonal matrix algorithm (Thomas algorithm). The Thomas ...

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 ...

Tai-Lin Wang, William B. Gragg, Convergence of the Shifted QR Algorithm for Unitary Hessenberg Matrices, Mathematics of Computation, Vol. 71, No. 240 (Oct., 2002), pp ...

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, ...