Browsing Matematik / Mathematics by Author "Petik, Tuğba"

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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 ...
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 ...
The generalized quadraticity of linear combinations of two commuting quadratic matrices

Mahmut Uc; Petik, Tuğba; Halim Ozdemir (TAYLOR & FRANCIS LTD, 2016)

Let A(1) and A(2) be two nonzero commuling} and {a2, fi2}-quadratic matrices, respectively, where alpha(1), beta(1), alpha(2), beta(2) is an element of C with alpha(1) not equal beta(1) and alpha(2) not equal beta(2). The ...