A New Symbolic Algorithm for Solving General Opposite-Bordered Tridiagonal Linear Systems
نویسندگان
چکیده
In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bordered tridiagonal linear systems. An explicit formula for computing the determinant of an opposite-bordered tridiagonal matrix is investigated. Some illustrative examples are given.
منابع مشابه
New Symbolic Algorithms For Solving A General Bordered Tridiagonal Linear System
X iv :1 30 3. 07 38 v1 [ cs .S C ] 4 M ar 2 01 3 New Symbolic Algorithms For Solving A General Bordered Tridiagonal Linear System A. A. KARAWIA∗ Computer science unit, Deanship of educational services, Qassim University, P.O.Box 6595, Buraidah 51452, Saudi Arabia. E-mail: [email protected] Abstract In this paper, the author present reliable symbolic algorithms for solving a general bordered tri...
متن کاملA New Two-stage Iterative Method for Linear Systems and Its Application in Solving Poisson's Equation
In the current study we investigate the two-stage iterative method for solving linear systems. Our new results shows which splitting generates convergence fast in iterative methods. Finally, we solve the Poisson-Block tridiagonal matrix from Poisson's equation which arises in mechanical engineering and theoretical physics. Numerical computations are presented based on a particular linear system...
متن کاملOn Solving Pentadiagonal Linear Systems via Transformations
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 algorithms. The current article is describes new numeric and symbolic algorithms for solving pentadiagonal linear systems via transformations. New algorithms are natural generalization of the work presented in [Moawwad ...
متن کاملSymbolic algorithm for solving comrade linear systems based on a modified Stair-Diagonal Approach
Recently, new approach called Stair-Diagonal used for solving a tridiagonal system by Jawad[A. J. Jawad and et.al., Solving a Tri-Diagonal System of Size N Equations by Stair-Diagonal Approach, Adv. Sci. Eng. Med. , 4(2012) 171-175]. In this paper, we developed a Stair-Diagonal Approach in order to remove the cases where the Stair-Diagonal Approach fails. Also, we describe a symbolic computatio...
متن کاملFast Banded Linear Equation Solvers
A new algorithm for solving triangular linear equations is reported that is signiicantly faster than conventional methods on vector and parallel architectures for small bandwidths. In essence, it is a block version of the cyclic reduction algorithm used for tridiagonal systems of equations, and is applicable to general banded systems as well.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015