Open AccessReduced Symmetrizer Equation
Author(s) -
R. Purushothaman Nair
Publication year - 2021
Publication title -
global journal of science frontier research
Language(s) - English
Resource type - Journals
eISSN - 2249-4626
pISSN - 0975-5896
DOI - 10.34257/gjsfrfvol20is9pg15
Subject(s) - mathematics , riccati equation , computation , matrix difference equation , reduction (mathematics) , integro differential equation , equation solving , matrix (chemical analysis) , mathematical analysis , partial differential equation , algorithm , geometry , chemistry , chromatography
This paper revisits the real symmetrizer equation in the literature to transform it into a reduced symmetrizer equation. This reduction can be accomplished by decomposing the symmetrizer of the equation. The reduced equation has a diagonal matrix as its symmetrizer and can be further decomposed into more such equations. These reduced equations are coexisting and synchronized with the original symmetrizer equation. Associated results concerning the reduced symmetrizer equation are introduced. A numerical algorithm for symmetrizer computation is developed based on these results. Typical symmetrizer problems in the literature are solved using the algorithm and the results are presented.