DSpace Home
→
Browsing by Author

Browsing by Author "Özdemir, Halim"

Now showing items 1-14 of 14

A note on linear combinations of commuting tripotent matrices

Özdemir, Halim (ELSEVIER SCIENCE INC, 2004)

The purpose of this note is to characterize all situations in which a linear combination of two commuting tripotent matrices is also a tripotent matrix. In the case of real scalars and real symmetric matrices, this problem ...
Generalized quadraticity of linear combination of two generalized quadratic matrices

Petik, Tuğba; Özdemir, Halim (TAYLOR & FRANCIS LTD, 2015)

It is investigated the necessary and sufficient conditions for the generalized quadraticity of a linear combination of any two generalized quadratic matrices. The main result obtained is, in a sense, a generalization of ...
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 a disjoint idempotent decomposition for linear combinations produced from n commutative tripotent matrices

Özdemir, Halim; Kişi, Emre; Uç, Mahmut (ELSEVIER SCIENCE INC, 2012)

It has been established a 3(n)-term disjoint idempotent decomposition ( DID) for the linear combinations produced from n (>= 2) commutative tripotent matrices, their products and their products of power 2 at most. The ...
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 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 idempotency of linear combinations of idempotent matrices

Özdemir, Halim (ELSEVIER SCIENCE INC, 2004)

P-1, P-2 and P-3 being any three different nonzero mutually commutative n x n idempotent matrices, and C-1 C-2 and C-3 being nonzero scalars, the problem of characterizing some situations, where a linear combination of the ...
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 ...
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 ...
On the quadraticity of linear combinations of quadratic matrices

Uç, Mahmut; Özdemir, Halim; A. Y. Ozban (TAYLOR & FRANCIS LTD, 2015)

are obtained. Our main results contain many of the results in the literature related to idempotency or involutivity of the linear combinations of idempotent and/or involutive matrices. Finally, some numerical examples are ...
On the spectra of some combinations of two generalized quadratic matrices

Petik, Tuğba; Özdemir, Halim (ELSEVIER SCIENCE INC, 2015)

Let A and B be two generalized quadratic matrices with respect to idempotent matrices P and Q, respectively, such that (A - alpha P)(A - beta P) = 0, AP = PA = A, 113 y (2)(B - gamma Q) (B - delta Q) = 0, BQ = QB - B PQ - ...
ON THE SPECTRA OF SOME MATRICES DERIVED FROM TWO QUADRATIC MATRICES

Özdemir, Halim; Petik, Tuğba (SPRINGER SINGAPORE PTE LTD, 2013)

The relations between the spectrum of the matrix Q + R and the spectra of matrices (gamma + delta)Q + (alpha+ beta)R - QR - RQ,QR - RQ, alpha beta R - QRQ, alpha RQR - (QR)(2), and beta R - QR have been given assuming that ...