4 citations · 11 across the 11 of their papers we have counts for
11 papers
A Breakdown Free Numerical Algorithm for Inverting General Tridiagonal Matrices
Moawwad El-Mikkawy, Abdelrahman Karawia
In the current paper the authors linked two methods in order to evaluate general n-th order tridiagonal determinants. A breakdown free numerical algorithm is developed for computin…
A Hybrid Numerical Algorithm for Evaluating n-th Order Tridiagonal Determinants
Moawwad El-Mikkawy, AbdelRahman Karawia
The principal minors of a tridiagonal matrix satisfy two-term and three-term recurrences [1, 2]. Based on these facts, the current article presents a new efficient and reliable hyb…
On the Inverting of A General Heptadiagonal Matrix
A. A. Karawia
In this paper, we developed new numeric and symbolic algorithms to find the inverse of any nonsingular heptadiagonal matrix. Symbolic algorithm will not break and it is without set…
On Solving Pentadiagonal Linear Systems via Transformations
A. A. Karawia
Many authors studied numeric algorithms for solving the linear systems of the pentadiagonal type. The well-known Fast Pentadiagonal System Solver algorithm is an example of such al…
New Symbolic Algorithms For Solving A General Bordered Tridiagonal Linear System
A. A. Karawia
In this paper, the author present reliable symbolic algorithms for solving a general bordered tridiagonal linear system. The first algorithm is based on the LU decomposition of the…
A New Recursive Algorithm For Inverting A General Comrade Matrix
A. A. Karawia
In this paper, the author present a reliable symbolic computational algorithm for inverting a general comrade matrix by using parallel computing along with recursion. The computati…