BibTex RIS Kaynak Göster

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

Yıl 2011, Cilt: 11 Sayı: 2, 9 - 18, 01.08.2011

Hasan Öğünmez

Öz

Anahtar Kelimeler

-

Kaynakça

  • 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)

Yıl 2011, Cilt: 11 Sayı: 2, 9 - 18, 01.08.2011

Hasan Öğünmez

Öz

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

Anahtar Kelimeler

Quaternion Cauchy

Kaynakça

  • 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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Makaleler
Yazarlar

Hasan Öğünmez Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2011
Gönderilme Tarihi 8 Ağustos 2015
Yayımlandığı Sayı Yıl 2011 Cilt: 11 Sayı: 2

Kaynak Göster

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. Ağustos 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, sy. 2 (Ağustos 2011): 9-18.
EndNote Öğünmez H (01 Ağustos 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, c. 11, sy. 2, ss. 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 (Ağustos 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, c. 11, sy. 2, 2011, ss. 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.