$LU$-Decompositions of Tridiagonal Irreducible H -Matrices
William J. Harrod · SIAM Journal on Algebraic and Discrete Methods · 1986
In this paper bounds are developed and investigated on the growth factors and the multipliers resulting from Gaussian elimination applied to an irreducible tridiagonal H-matrix. These results extend the study of the stability of Gaussian elimination without pivoting on certain tridiagonal matrices by Gunzburger and Nicolaides.