Research Article

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

Volume: 9 December 28, 2018
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

  1. Bottcher, A., Grudsky, S.M., Introduction to Large Truncated Toeplitz Matrices, Springer, New York, 1999.
  2. Bottcher, A., Grudsky, S.M., Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis, Birkhauser, 2000.
  3. Dogan, H., Suarez, L., Matrix Power Computation: Band Toeplitz Structure, International Journal of Computing Algorithm (IJCOA), 6(1)(2017), 55–58.
  4. Grenander, U., Szego, G., Toeplitz Forms and Their Applications, University of Calif. Press, Berkeley and Los Angeles, 1958.
  5. Kucerovsky, D., Mousavand, K., Sarraf, A., On some properties of Toeplitz matrices, Cogent Mathematics, 3: 1154705(2016).
  6. 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.
  7. 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.
  8. 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

Authors

Hamide Dogan *
United States

Kachmar Khalil This is me

Luis R. Suarez This is me

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