BibTex RIS Kaynak Göster

Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrislerinin Normları Üzerine

Yıl 2011, Cilt: 11 Sayı: 2, 1 - 7, 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., (1998), On the lp Norms of Cauchy- Toeplitz Matrices., Linear and Multilinear Algebra, 44: 341-346.
  • Bozkurt, D., (1996), On the Bounds of Cauchy- Toeplitz Differential Equations, 3(2): 135-142. Siberian Journal of
  • Bozkurt, D., (1996), On the Bounds for the p norm lp norm of almost Cauchy-Toeplitz Matrix,.Turkish Journal of Math., 20(4): 545-552.
  • 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 Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7)

Yıl 2011, Cilt: 11 Sayı: 2, 1 - 7, 01.08.2011

Hasan Öğünmez

Öz

olmak üzere, T ve H matrislerinin p normlar için alt ve üst sınırlar elde ettik

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., (1998), On the lp Norms of Cauchy- Toeplitz Matrices., Linear and Multilinear Algebra, 44: 341-346.
  • Bozkurt, D., (1996), On the Bounds of Cauchy- Toeplitz Differential Equations, 3(2): 135-142. Siberian Journal of
  • Bozkurt, D., (1996), On the Bounds for the p norm lp norm of almost Cauchy-Toeplitz Matrix,.Turkish Journal of Math., 20(4): 545-552.
  • 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 11 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 Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 11(2), 1-7.
AMA Öğünmez H. On the Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. Ağustos 2011;11(2):1-7.
Chicago Öğünmez, Hasan. “On the Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7)”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 11, sy. 2 (Ağustos 2011): 1-7.
EndNote Öğünmez H (01 Ağustos 2011) On the Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 11 2 1–7.
IEEE H. Öğünmez, “On the Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7)”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 11, sy. 2, ss. 1–7, 2011.
ISNAD Öğünmez, Hasan. “On the Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7)”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 11/2 (Ağustos 2011), 1-7.
JAMA Öğünmez H. On the Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2011;11:1–7.
MLA Öğünmez, Hasan. “On the Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7)”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 11, sy. 2, 2011, ss. 1-7.
Vancouver Öğünmez H. On the Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7). Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2011;11(2):1-7.