On the Norms of Quaternion Cauchy-Toeplitz and Quaternion Cauchy-Hankel Matrices (021301) (1-7)

Hasan Öğünmez

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.