Some Properties of Generalized Frank Matrices
Abstract
In this paper, we first introduce a new generalization of Frank matrix. Then, we examine its algebraic structure, determinant, inverse, LU decomposition and characteristic polynomial.
..............................................................................................................................................................................................................................................................................................................................
Keywords
Frank matrix, , determinant, , inverse, , LU decomposition, characteristic polynomial
References
- Referans1 J. Davis, Circulant Matrices, Wiley, New York, Chichester, Brisbane, 1979.
- Referans2 P. J. Eberlein, A note on the matrices denoted B_{n}^{∗}, Siam J. Appl. Math. 20 (1971) 87-92.
- Referans3 W.L. Frank, Computing eigenvalues of complex matrices by determinant evaluation and by methods of Danilewski and Wielandt, J. Soc. Indust. Appl. Math. 6 (4) (1958) 378-392.
- Referans4 J-F. Hake, A remark on Frank matrices, Computing 35 (1985) 375-379.
- Referans5 E. Kılıç and T. Arıkan, Studying new generalizations of Max-Min matrices with a novel approach, Turkish Journal of Mathematics 43 (2019) 2010-2024.
- Referans6 M. Mattila and P. Haukkanen, Studying the various properties of Min and Max matrices - elementary vs. more advanced methods, Spec. Matrices 4 (2016) 101--109.
- Referans7 J. M. Varah, A generalization of the Frank matrix, Siam J.Sci. Stat. Comput. 7 (3) (1986) 835-839.