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Dergiler / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 9 - Sayı: 9

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

Hamide DOĞAN
Kachmar A. KHALİL
Luis R. SUAREZ
Sayfa
50–54
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We provide new findings concerning the ideals of LTTM.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article, we discuss some results on the ideals of the real-valued lower triangular Toeplitz matrices (LTTM).
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Temel Bulgular & Veri:Specifically, we provide the basic ring structure, and look at the ideals of LTTM.
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Sonuç & Katkı:We provide new findings concerning the ideals of LTTM.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Linear Algebra · Matrix Theory · Lower Triangular 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.

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Bu Makaleye Atıf Yap

DOĞAN, H., KHALİL, K. A., SUAREZ, L. R. (2018). Some Results on the Ideals of Real-Valued Lower Triangular Toeplitz Matrices. Turkish Journal of Mathematics and Computer Science, Cilt: 9 - Sayı: 9, 50–54. https://ajindex.com/articles/374704

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Kaynakça (8)

  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.