Hamide Dogan, Kachmar A. Khalil, Luis R. Suarez

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

ISSN: 2148-1830
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: MATEMATİKÇİLER DERNEĞİ

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

PDF

___

[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.