Dr. Ercan Altınışık

Department of Mathematics, Faculty of Science

Gazi University, Turkey

Associate Professor

Email: ercanaa@gmail.com, ealtinisk@gazi.edu.tr

Qualifications

2001 Ph.D., Department of Mathematics, Selçuk University, Turkey

1998 MSc., Department of Mathematics, Dokuz Eylül University, Turkey

1994 BSc., Department of Math Education, Dokuz Eylül University, Turkey

Publications (Selected)

1. Ercan Altınışık, Ali Keskin, Mehmet Yıldız, Murat Demirbüken, “On a Conjecture of Ilmonen, Haukkanen and Merikoski Concerning the Smallest Eigenvalues of Certain GCD Related Matrices,” Linear Algebra Appl. 493(1-13).
2. Ercan Altınışık, Şerife Büyükköse, “On bounds for the smallest and the largest eigenvalues of gcd and lcm matrices,” Math. Inequal. Appl. 19 (1) (2016), 117-125.
3. E.Altınışık, Ş.Büyükköse, “A proof of a conjecture on monotonic behavior of the smallest and the largest eigenvalues of a number theoretic matrix,” Linear Algebra Appl. 471 (2015), 141–149. MR3314330
4. E.Altınışık, Ş.Büyükköse, “A proof of a conjecture on monotonic behavior of the largest eigenvalue of a number-theoretic matrix,” AIP Conf. Proc. 1648, 850118 (2015)
5. E.Altınışık, F. Yalçın, Ş.Büyükköse, “Determinants and inverses of circulant matrices with complex Fibonacci numbers,”. Spec. Matrices 3 (2015), 82-90. MR3343671
6. Ş.Büyükköse, E.Altınışık , F. Yalçın, “Improved Bounds for the Extremal Non-trivial Laplacian Eigenvalues”, Gazi University Journal of Science, 28(1), 2015, 65-68.
7. E.Altınışık, Ş.Büyükköse, “Determinants of Circulant Matrices with Some Certain Sequences”, Gazi University Journal of Science, 28(1), 2015, 59-63.
8. Altınışık, E., “On inverses of GCD matrices associated with multiplicative functions and a proof of the Hong–Loewy conjecture,”Linear Algebra Appl., 430 (4), 1313-1327 (2009). SCI MR2489394 (2009j:11045)
9. Altınışık, E., “On the matrix norms of a GCD related matrix,” Math. Inequal. Appl., 11 (4), 635–646, (2008). SCI ExpMR2458157 (2009i:11035)
10. Öçal, A.A, Altınışık, E., Tuğlu, N., “Inverses of (S)f and [S]f on gcd-closed sets and lcm-closed sets,”International Journal of Analyzing Methods of Components and Combinatorial Biology in Mathematics, 1, 45-57, (2008).
11. Altınışık, E., Tuğlu, N., Haukkanen, P., “Determinant and inverse of meet and join matrices,” Int. J. Math. Math. Sci, (Hindawi) article ID 37580, 11 pages, (2007). MR2306372 (2008e:11033)
12. Altınışık, E., Sagan, B.E., Tuğlu, N., "GCD matrices, posets, and nonintersecting paths," Linear Multilinear Algebra, 53 (2), 75-84, (2005). SCI Exp MR2133311 (2005k:11055)
13. Öcal, A.A., Tuğlu, N., Altınışık, E., “On the representation of k-generalized Fibonacci and Lucas numbers”, Appl. Math. Comput., 170, 584-596, (2005). SCI Exp MR2177563 (2006e:11020)
14. Altınışık, E., Tuğlu, N., Haukkanen, P., “A note on bounds for norms of the reciprocal LCM Matrix,” Math. Inequal. Appl., 7, 491-496, (2004). SCI Exp MR2097504 (2006e:11037)
15. Taşçı, D., Altınışık, E., “On the almost Hilbert-Smith matrices”, Fibonacci Quart., 40 (2), 339-344, (2002). SCI ExpMR1920575 (2003h:11032)
16. Altınışık, E., Taşçı, D., “On a generalization of reciprocal LCM matrices”, Commun. Fac. Sci. Univ. Ank. Series A1, 51(2), 37-46, (2002). MR1981051 (2004b:15033)