ÖĞÜNMEZ, Hasan Kocatepe University - Faculty of Science and Arts - Department of Mathematics, TURKEY

On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices

27527

In this study, we have established upper and lower bounds for the Euclidean and the Spectral norms of Quaternion Cauchy-Toeplitz ( T ) and Quaternion Cauchy-Hankel ( H ) matrices respectively. Besides, by assuming complex matrix Tn = A1 + A2 j , we have defined the matrix[Tn]=[A1 A2] - - [-A2 A1] and similarly, by assuming complex matrix Hn = B1 + B2 j , we have also defined another matrix [Hn ] =[B1 B2] - - [-B2 B1] . Then we have obtained the bounds of the spectral norms for these matrices.

9

Quaternion Cauchy , Toeplitz Matrices , Quaternion Cauchy , Hankel Matrices , Euclidean Norm , Spectral Norm. 15A45 , 15A60

Afyon Kocatepe University Journal Of Science an‎d Engineering

18