DSpace Home
→
Fakülteler / Faculties
→
Fen-Edebiyat Fakültesi
→
Matematik / Mathematics
→
Browsing Matematik / Mathematics by Author

Browsing Matematik / Mathematics by Author "Sarduvan, Murat"

Now showing items 1-6 of 6

Centrohermitian and Skew-Centrohermitian Solutions to the Minimum Residual and Matrix Nearness Problems of the Quaternion Matrix Equation (AXB, DXE) = (C, F)

S. Simsek; Sarduvan, Murat; H. Ozdemir (SPRINGER BASEL AG, 2017)

It is established that the precise solutions on the minimum residual and matrix nearness problems of the quaternion matrix equation (AXB, DXE) = (C, F) for centrohermitian and skew-centrohermitian matrices, where X is an ...
Notes on linear combinations of two tripotent, idempotent, and involutive matrices that commute

Özdemir, Halim; Sarduvan, Murat (OVIDIUS UNIV PRESS, 2008)

The aim of this paper is to provide alternate proofs of all the results of our previous paper [2] in the particular case when the given two matrices A(1) and A(2) in the linear combination A = c(1)A(1) + c(2)A(2) commute.
On idempotency and tripotency of linear combinations of two commuting tripotent matrices

Özdemir, Halim; Sarduvan, Murat; Güler, Nesrin (ELSEVIER SCIENCE INC, 2009)

Let T-1 and T-2 be two nonzero commuting n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. Necessary and sufficient conditions for the tripotency and the idempotency of c(1)T(1) + c(2)T(2) are obtained. ...
On linear combinations of two tripotent, idempotent, and involutive matrices

Sarduvan, Murat; Özdemir, Halim (ELSEVIER SCIENCE INC, 2008)

Let A = c(1)A(1) + c(2)A(2), where c(1), c(2) are nonzero complex numbers and (A(1), A(2)) is a pair of two n x n nonzero matrices. We consider the problem of characterizing all situations where a linear combination of the ...
On nonsingularity of combinations of three group invertible matrices and three tripotent matrices

Özdemir, Halim; Sarduvan, Murat (TAYLOR & FRANCIS LTD, 2013)

Let T?=?c 1 T 1?+?c 2 T 2?+?c 3 T 3?-?c 4(T 1 T 2?+?T 3 T 1?+?T 2 T 3), where T 1, T 2, T 3 are three n?x?n tripotent matrices and c 1, c 2, c 3, c 4 are complex numbers with c 1, c 2, c 3 nonzero. In this article, necessary ...
ON THE MATRIX NEARNESS PROBLEM FOR (SKEW-)SYMMETRIC MATRICES ASSOCIATED WITH THE MATRIX EQUATIONS (A(1)XB(1),..., A(k)XB(k)) = (C-1,...,C-k)

Şimşek, Salih; Sarduvan, Murat; Özdemir, Halim (UNIV MISKOLC INST MATH, 2016)

Suppose that the matrix equations system (A(1)XB(1), ... , A(k)XB(k)) = (C-1,..., C-k) with unknown matrix X is given, where A(i), B-i, and C-i, i = 1, 2,..., k, are known matrices of suitable sizes. The matrix nearness ...