EN
Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices
Abstract
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.
Keywords
References
- 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.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
December 28, 2018
Submission Date
April 9, 2018
Acceptance Date
November 28, 2018
Published in Issue
Year 2018 Volume: 9
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. https://izlik.org/JA76AD92FB
AMA
1.Dogan H, Khalil K, Suarez LR. Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices. TJMCS. 2018;9:50-54. https://izlik.org/JA76AD92FB
Chicago
Dogan, Hamide, Kachmar Khalil, and Luis R. Suarez. 2018. “Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices”. Turkish Journal of Mathematics and Computer Science 9 (December): 50-54. https://izlik.org/JA76AD92FB.
EndNote
Dogan H, Khalil K, Suarez LR (December 1, 2018) Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices. Turkish Journal of Mathematics and Computer Science 9 50–54.
IEEE
[1]H. Dogan, K. Khalil, and L. R. Suarez, “Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices”, TJMCS, vol. 9, pp. 50–54, Dec. 2018, [Online]. Available: https://izlik.org/JA76AD92FB
ISNAD
Dogan, Hamide - Khalil, Kachmar - Suarez, Luis R. “Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices”. Turkish Journal of Mathematics and Computer Science 9 (December 1, 2018): 50-54. https://izlik.org/JA76AD92FB.
JAMA
1.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, et al. “Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices”. Turkish Journal of Mathematics and Computer Science, vol. 9, Dec. 2018, pp. 50-54, https://izlik.org/JA76AD92FB.
Vancouver
1.Hamide Dogan, Kachmar Khalil, Luis R. Suarez. Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices. TJMCS [Internet]. 2018 Dec. 1;9:50-4. Available from: https://izlik.org/JA76AD92FB