Biconjugate Decomposition Using ABS Algorithms

ABS method provides the general solution of a system by computing a solution and a matrix, called the Abaffian matrix, with rows generating the null space of the coef- ient matrix. We present an algorithm for computing a biconjugate pair (V,P), suchthat V TAP = is a diagonal and nonsingular matrix, using ABS algorithm. Then we propose an algorithm for computing an equivalent diagonal form of a matrix A by using the extended ABS algorithm