Biconjugate Decomposition Using ABS Algorithms

Abs method provides the general solution of a system by computing a solution anda matrix, called the abaan matrix, with rows generating the null space of the coef-cient matrix. we present an algorithm for computing a biconjugate pair (v,p), suchthat v^ t ap =ω is a diagonal and nonsingular matrix, using abs algorithm. then wepropose an algorithm for computing an equivalent diagonal form of a matrix a by usingthe extended abs algorithm.