On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18)

Hasan Öğünmez

Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrislerinin Euclidean ve Spektral Normları Üzerine

Year 2011, Volume: 11 Issue: 2, 9 - 18, 01.08.2011

Hasan Öğünmez

Abstract

Keywords

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References

Zhang, F., (1997), Quaternions and matrices of quaternions, Applications, 251:21-57. Algebra and its
Lee, H.C., (1949), Eigenvalues of canonical forms of matrices with quaternion coefficent, Proc R.I.A., 52, Sect.
Moenck, R., (1977), On Computing Closed forms for Summations., Proc. MACYSYMA user conf., 225-236.
Mathias, R., (1990), The Spectral Norm of a Nonnegative Matrix, Linear Algebra and its Applications, 131: 269-284.
Visick, G., (2000), A Quantitative Version of Observation That The Hadamart Product is A Principal Submatrix of The Kronecker Product., Linear Algebra and its Applications, 304: 45-68.
Zielke, G., (1988), Some Remarks on the Matrix Norms, Condition Numbers and Error Estimates for Linear Equations., Linear Algebra and its Applications, 110: 29-41.
Horn, R.A. and Johnson, C.R., (1991), Topics in Matrix Analysis. Cambridge University Pres.
Bozkurt, D., (1996), On the Bounds of Cauchy- Toeplitz Differential Equations, 3(2): 135-142. Siberian Journal of
Solak, S. and Bozkurt, D., (2003), On the Spectral Norms of Cauchy-Toeplitz and Cauchy-Hankel Matrices., Computation, 140: 231-238. Mathematics and
Türkmen, R. and Bozkurt, D., (2002), On the Bounds for the Norms of Cauchy-Toeplitz and Cauchy- Hankel Matrices., Applied Mathematics and Computation, 132: 633-642.

On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18)

Year 2011, Volume: 11 Issue: 2, 9 - 18, 01.08.2011

Hasan Öğünmez

Abstract

Bu çalışmada, sırasıyla Quaternion Cauchy-Toeplitz (T), Quaternion Cauchy-Hankel (H) Matrislerinin Spektral ve Euclidean normlar için alt ve üst sınarlar elde ettik. Ayrıca, TnAAj , kompleks 2j , kompleks

Keywords

Quaternion Cauchy

References

Zhang, F., (1997), Quaternions and matrices of quaternions, Applications, 251:21-57. Algebra and its
Lee, H.C., (1949), Eigenvalues of canonical forms of matrices with quaternion coefficent, Proc R.I.A., 52, Sect.
Moenck, R., (1977), On Computing Closed forms for Summations., Proc. MACYSYMA user conf., 225-236.
Mathias, R., (1990), The Spectral Norm of a Nonnegative Matrix, Linear Algebra and its Applications, 131: 269-284.
Visick, G., (2000), A Quantitative Version of Observation That The Hadamart Product is A Principal Submatrix of The Kronecker Product., Linear Algebra and its Applications, 304: 45-68.
Zielke, G., (1988), Some Remarks on the Matrix Norms, Condition Numbers and Error Estimates for Linear Equations., Linear Algebra and its Applications, 110: 29-41.
Horn, R.A. and Johnson, C.R., (1991), Topics in Matrix Analysis. Cambridge University Pres.
Bozkurt, D., (1996), On the Bounds of Cauchy- Toeplitz Differential Equations, 3(2): 135-142. Siberian Journal of
Solak, S. and Bozkurt, D., (2003), On the Spectral Norms of Cauchy-Toeplitz and Cauchy-Hankel Matrices., Computation, 140: 231-238. Mathematics and
Türkmen, R. and Bozkurt, D., (2002), On the Bounds for the Norms of Cauchy-Toeplitz and Cauchy- Hankel Matrices., Applied Mathematics and Computation, 132: 633-642.

There are 10 citations in total.

Details

Primary Language	Turkish
Journal Section	Articles
Authors	Hasan Öğünmez This is me
Publication Date	August 1, 2011
Submission Date	August 8, 2015
Published in Issue	Year 2011 Volume: 11 Issue: 2

Cite

APA	Öğünmez, H. (2011). On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 11(2), 9-18.
AMA	Öğünmez H. On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. August 2011;11(2):9-18.
Chicago	Öğünmez, Hasan. “On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18)”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 11, no. 2 (August 2011): 9-18.
EndNote	Öğünmez H (August 1, 2011) On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 11 2 9–18.
IEEE	H. Öğünmez, “On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18)”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 11, no. 2, pp. 9–18, 2011.
ISNAD	Öğünmez, Hasan. “On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18)”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 11/2 (August 2011), 9-18.
JAMA	Öğünmez H. On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2011;11:9–18.
MLA	Öğünmez, Hasan. “On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18)”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 11, no. 2, 2011, pp. 9-18.
Vancouver	Öğünmez H. On The Euclidean and the Spectral Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021302) (9-18). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2011;11(2):9-18.