Another proof of Pell identities by using the determinant of tridiagonal matrix
In this paper, another proof of Pell identities is presented by using the determinant of tridiagonal matrices. It is calculated via the Laplace expansion.
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arXiv subjects
Meral Yaşar
Publications and source records attributed to Meral Yaşar.
An Inversion Algorithm for Cyclic Nonadiagonal Matrix
In this paper, we compose a computational algorithm for the determinant and the inverse of the n x n cyclic nonadiagonal matrix. The algorithm is suited for implementation using computer algebra systems (CAS) such as Mathematica and Maple.
math.NA↗
A New Algorithm for the Inverse of Periodic k Banded and Periodic Anti k banded Matrices
In this study, an algorithm for computing the inverse of periodic k banded matrices, which are needed for solving the differential equations by using the finite differences, the solution of partial differential equations and the solution of boundary value problems is obtained and the inverses of periodic anti k banded matrices are computed. In addition, the determinant of these type of matrices and the solution of linear systems having these coefficient matrices are investigated. When obtaining this algorithm, the LU factorization is used.The algorithm is implementable to the CAS (Computer Algebra Systems) such as Maple and Mathematica.
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