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Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices

Yıl 2018, Cilt: 9, 50 - 54, 28.12.2018

Öz

In this article, we discuss some results on the ideals of the real-valued lower triangular Toeplitz matrices (LTTM). Specifically, we provide the basic ring structure, and look at the ideals of LTTM. We provide new findings concerning the ideals of LTTM. 

Kaynakça

  • Bottcher, A., Grudsky, S.M., Introduction to Large Truncated Toeplitz Matrices, Springer, New York, 1999.
  • Bottcher, A., Grudsky, S.M., Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis, Birkhauser, 2000.
  • Dogan, H., Suarez, L., Matrix Power Computation: Band Toeplitz Structure, International Journal of Computing Algorithm (IJCOA), 6(1)(2017), 55–58.
  • Grenander, U., Szego, G., Toeplitz Forms and Their Applications, University of Calif. Press, Berkeley and Los Angeles, 1958.
  • Kucerovsky, D., Mousavand, K., Sarraf, A., On some properties of Toeplitz matrices, Cogent Mathematics, 3: 1154705(2016).
  • Liu, X., McKee S., Yuan, J.Y., Yuan, Y.X. Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices, Linear Algebra and its Applications, 435(2011), 1157-1170.
  • Vecchio, A. A Bound for the Inverse of a Lower Triangular Toeplitz Matrix, SIAM Journal on Matrix Analysis and Applications, 24(4)(2003), 1167-1174.
  • Ye, K., Lim, L. H., Every matrix is a product of Toeplitz matrices, Foundations of Computational Mathematics, 16(3)(2016), 577–598.
Yıl 2018, Cilt: 9, 50 - 54, 28.12.2018

Öz

Kaynakça

  • Bottcher, A., Grudsky, S.M., Introduction to Large Truncated Toeplitz Matrices, Springer, New York, 1999.
  • Bottcher, A., Grudsky, S.M., Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis, Birkhauser, 2000.
  • Dogan, H., Suarez, L., Matrix Power Computation: Band Toeplitz Structure, International Journal of Computing Algorithm (IJCOA), 6(1)(2017), 55–58.
  • Grenander, U., Szego, G., Toeplitz Forms and Their Applications, University of Calif. Press, Berkeley and Los Angeles, 1958.
  • Kucerovsky, D., Mousavand, K., Sarraf, A., On some properties of Toeplitz matrices, Cogent Mathematics, 3: 1154705(2016).
  • Liu, X., McKee S., Yuan, J.Y., Yuan, Y.X. Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices, Linear Algebra and its Applications, 435(2011), 1157-1170.
  • Vecchio, A. A Bound for the Inverse of a Lower Triangular Toeplitz Matrix, SIAM Journal on Matrix Analysis and Applications, 24(4)(2003), 1167-1174.
  • Ye, K., Lim, L. H., Every matrix is a product of Toeplitz matrices, Foundations of Computational Mathematics, 16(3)(2016), 577–598.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Hamide Dogan

Kachmar Khalil Bu kişi benim

Luis R. Suarez Bu kişi benim

Yayımlanma Tarihi 28 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 9

Kaynak Göster

APA Dogan, H., Khalil, K., & Suarez, L. R. (2018). Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices. Turkish Journal of Mathematics and Computer Science, 9, 50-54.
AMA Dogan H, Khalil K, Suarez LR. Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices. TJMCS. Aralık 2018;9:50-54.
Chicago Dogan, Hamide, Kachmar Khalil, ve Luis R. Suarez. “Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices”. Turkish Journal of Mathematics and Computer Science 9, Aralık (Aralık 2018): 50-54.
EndNote Dogan H, Khalil K, Suarez LR (01 Aralık 2018) Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices. Turkish Journal of Mathematics and Computer Science 9 50–54.
IEEE H. Dogan, K. Khalil, ve L. R. Suarez, “Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices”, TJMCS, c. 9, ss. 50–54, 2018.
ISNAD Dogan, Hamide vd. “Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices”. Turkish Journal of Mathematics and Computer Science 9 (Aralık 2018), 50-54.
JAMA Dogan H, Khalil K, Suarez LR. Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices. TJMCS. 2018;9:50–54.
MLA Dogan, Hamide vd. “Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices”. Turkish Journal of Mathematics and Computer Science, c. 9, 2018, ss. 50-54.
Vancouver Dogan H, Khalil K, Suarez LR. Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices. TJMCS. 2018;9:50-4.