Open AccessAnalysis of Some Nonstationary Iterative Methods Using the Pascal and Vandermonde Linear Systems
Author(s) -
S Azizu
Publication year - 2021
Language(s) - English
DOI - 10.47363/jpsos/2021(3)138
Subject(s) - vandermonde matrix , linear system , pascal (unit) , generalized minimal residual method , mathematics , iterative method , polynomial , linear algebra , computer science , algorithm , mathematical analysis , eigenvalues and eigenvectors , physics , quantum mechanics , programming language , geometry
In this paper, analysis of some nonstationary iterative methods using the Vandermonde and Pascal linear system is reported. The nonstationary iterative methods selected were GMRES and QMR to assess their performance on the identified linear systems. The paper focused on the convergence relative residual and number of iteration for each type of chosen linear system. The Vandermonde matrix is mostly applied to interpolation of both quadratic and cubic polynomial function. The resulting polynomial has the form: p(x) = an xn + an-1xn-1 +...+ a1 x + a0 . From the numerical experiments conducted using the matlab programming language, the GMRES is recommended when solving the identified linear systems