Applied and Computational Mathematics
Volume 4, Issue 2, April 2015, Pages: 47-52
Received: Feb. 19, 2015;
Accepted: Mar. 9, 2015;
Published: Mar. 19, 2015
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Seyyed Hossein Jafari-Petroudi, Department of Mathematics, Payame Noor University, P. O. Box, 1935-3697, Tehran, Iran
Behzad Pirouz, Department of Mathematics, Azad University of Karaj, Karaj, Iran
In this note we study a new nn matrix of the form A=[a^(min(i,j)-1) ]_(i,j=1)^n, where a1 is a real positive constant. We find determinant and inversion of this matrix and its Hadamard inverse. Then some bounds for the spectral norm of this matrix are presented. Finally we represent some properties of particular block diagonal matrices that their diagonal elements are these matrices.
Seyyed Hossein Jafari-Petroudi,
A Particular Matrix, Its Inversion and Some Norms, Applied and Computational Mathematics.
Vol. 4, No. 2,
2015, pp. 47-52.
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