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Relevant bibliographies by topics / Toeplitz determinant

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Academic literature on the topic 'Toeplitz determinant'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

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Journal articles on the topic "Toeplitz determinant"

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Rasmawati, Rasmawati, Lailany Yahya, Agusyarif Rezka Nuha, and Resmawan Resmawan. "DETERMINAN SUATU MATRIKS TOEPLITZ K-TRIDIAGONAL MENGGUNAKAN METODE REDUKSI BARIS DAN EKSPANSI KOFAKTOR." Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi 9, no. 1 (2021): 6–16. http://dx.doi.org/10.34312/euler.v9i1.10354.

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This paper discusses the determinants of a k-tridiagonal Toeplitz matrix using row reduction and cofactor expansion methods. The analysis was carried out recursively from the general form of the determinant of the tridiagonal Toeplitz matrix, the determinant of the 2-tridiagonal Toeplitz matrix, and the determinant of the 3-tridiagonal Toeplitz matrix. In the end, the general form of the determinant of the k-tridiagonal Toeplitz matrix is obtained.

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Borodin, Alexei, and Andrei Okounkov. "A Fredholm determinant formula for Toeplitz determinants." Integral Equations and Operator Theory 37, no. 4 (2000): 386–96. http://dx.doi.org/10.1007/bf01192827.

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Goy, T. P., and S. V. Sharyn. "A note on Pell-Padovan numbers and their connection with Fibonacci numbers." Carpathian Mathematical Publications 12, no. 2 (2020): 280–88. http://dx.doi.org/10.15330/cmp.12.2.280-288.

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In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan numbers and multinomial coefficients. In particular, we establish four connection formulas between the Pell-Padovan and the Fibonacci sequences via Toeplitz-Hessenberg determinants.

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Goy, Taras. "Combinatorial Determinant Formulas for Boubaker Polynomials." Mathematical Problems in Engineering 2020 (January 13, 2020): 1–7. http://dx.doi.org/10.1155/2020/1528639.

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In this paper, we evaluate several families of Toeplitz–Hessenberg determinants whose entries are the Boubaker polynomials. Equivalently, these determinant formulas may be also rewritten as combinatorial identities involving sum of products of Boubaker polynomials and multinomial coefficients. We also present new formulas for Boubaker polynomials via recurrent three-diagonal determinants.

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Vamshee Krishna, D., B. Venkateswarlu, and T. RamReddy. "Third Hankel determinant for starlike and convex functions with respect to symmetric points." Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica 70, no. 1 (2016): 37. http://dx.doi.org/10.17951/a.2016.70.1.37.

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The objective of this paper is to obtain best possible upper bound to the \(H_{3}(1)\) Hankel determinant for starlike and convex functions with respect to symmetric points, using Toeplitz determinants.

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Fu, Yaru, Xiaoyu Jiang, Zhaolin Jiang, and Seongtae Jhang. "Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns." Special Matrices 8, no. 1 (2020): 131–43. http://dx.doi.org/10.1515/spma-2020-0012.

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AbstractIn this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns. Specifically, the determinants of the n × n Toeplitz tridiagonal matrices with perturbed columns (type I, II) can be expressed by using the famous Fibonacci numbers, the inverses of Toeplitz tridiagonal matrices with perturbed columns can also be expressed by using the well-known Lucas numbers and four entries in matrix 𝔸. And the determinants of the n×n Hankel tridiagonal matrices with perturbed columns (type I, II) are (−1]

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Tismenetsky, M. "Determinant of block-Toeplitz band matrices." Linear Algebra and its Applications 85 (January 1987): 165–84. http://dx.doi.org/10.1016/0024-3795(87)90214-x.

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Krishna, D. Vamshee, and T. Ramreddy. "An upper bound to the nonlinear functional for certain subclasses of analytic functions associated with Hankel determinant." Asian-European Journal of Mathematics 07, no. 02 (2014): 1350042. http://dx.doi.org/10.1142/s1793557113500423.

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The objective of this paper is to obtain an upper bound to the second Hankel determinant [Formula: see text] for the functions belonging to strongly starlike and convex functions of order α(0 < α ≤ 1). Further, we introduce a subclass of analytic functions and obtain the same coefficient inequality for the functions in this class, using Toeplitz determinants.

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Tanaka, K., and T. Morita. "Asymptotic Behaviors of Modified Block Toeplitz Determinant." Progress of Theoretical Physics 84, no. 3 (1990): 392–409. http://dx.doi.org/10.1143/ptp/84.3.392.

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Zhang, Hai-Yan, Rekha Srivastava, and Huo Tang. "Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function." Mathematics 7, no. 5 (2019): 404. http://dx.doi.org/10.3390/math7050404.

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Let S s * be the class of normalized functions f defined in the open unit disk D = { z : | z | < 1 } such that the quantity z f ′ ( z ) f ( z ) lies in an eight-shaped region in the right-half plane and satisfying the condition z f ′ ( z ) f ( z ) ≺ 1 + sin z ( z ∈ D ) . In this paper, we aim to investigate the third-order Hankel determinant H 3 ( 1 ) and Toeplitz determinant T 3 ( 2 ) for this function class S s * associated with sine function and obtain the upper bounds of the determinants H 3 ( 1 ) and T 3 ( 2 ) .

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Dissertations / Theses on the topic "Toeplitz determinant"

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Hedengren, Gustav. "Toeplitz determinants with a one-cut regular potential and Fisher-Hartwig singularities." Thesis, KTH, Fysik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-281987.

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Gioev, Dimitri. "Generalizations of Szego Limit Theorem : Higher Order Terms and Discontinuous Symbols." Doctoral thesis, KTH, Mathematics, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3123.

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García-García, David. "Schur Averages in Random Matrix Ensembles." Doctoral thesis, 2019. http://hdl.handle.net/10451/45592.

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The main focus of this PhD thesis is the study of minors of Toeplitz, Hankel and Toeplitz±Hankel matrices. These can be expressed as matrix models over the classical Lie groups G(N) = U(N); Sp(2N);O(2N);O(2N + 1), with the insertion of irreducible characters associated to each of the groups. In order to approach this topic, we consider matrices generated by formal power series in terms of symmetric functions. We exploit these connections to obtain several relations between the models over the different groups G(N), and to investigate some of their structural properties. We compute explicitly

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Coppin, Graham. "Eigenvalues of toeplitz determinants." Thesis, 1990. http://hdl.handle.net/10539/23586.

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A research report submitted to the Faculty of Science, University of the Witwatersrand, in partial fulfillment of the degree of Master of Science.<br>The Toeplitz form is a most useful and important teo! in many areas of applied. mathematics today including signal processing, time-series analysis and prediction theory. It is even used in quantum mechanics in Ising model correlation functions. (Abbreviation abstract)<br>AC 2018

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Gharakhloo, Roozbeh. "Asymptotic Analysis of Structured Determinants via the Riemann-Hilbert Approach." Thesis, 2019. http://hdl.handle.net/1805/19918.

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Indiana University-Purdue University Indianapolis (IUPUI)<br>In this work we use and develop Riemann-Hilbert techniques to study the asymptotic behavior of structured determinants. In chapter one we will review the main underlying definitions and ideas which will be extensively used throughout the thesis. Chapter two is devoted to the asymptotic analysis of Hankel determinants with Laguerre-type and Jacobi-type potentials with Fisher-Hartwig singularities. In chapter three we will propose a Riemann-Hilbert problem for Toeplitz+Hankel determinants. We will then analyze this Riemann-Hilbert pro

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Matić, Rada. "Estimation Problems Related to Random Matrix Ensembles." Doctoral thesis, 2006. http://hdl.handle.net/11858/00-1735-0000-0006-B406-B.

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(6943460), Roozbeh Gharakhloo. "Asymptotic Analysis of Structured Determinants via the Riemann-Hilbert Approach." Thesis, 2020.

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<div><div>In this work we use and develop Riemann-Hilbert techniques to study the asymptotic behavior of structured determinants. In chapter one we will review the main underlying</div><div>definitions and ideas which will be extensively used throughout the thesis. Chapter two is devoted to the asymptotic analysis of Hankel determinants with Laguerre-type and Jacobi-type potentials with Fisher-Hartwig singularities. In chapter three we will propose a Riemann-Hilbert problem for Toeplitz+Hankel determinants. We will then analyze this Riemann-Hilbert problem for a certain family of Toeplitz and

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Book chapters on the topic "Toeplitz determinant"

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Sremac, Stefan, Hugo J. Woerdeman, and Henry Wolkowicz. "Maximum determinant positive definite Toeplitz completions." In Operator Theory, Analysis and the State Space Approach. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04269-1_17.

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Böttcher, Albrecht. "On the Determinant Formulas by Borodin, Okounkov, Baik, Deift and Rains." In Toeplitz Matrices and Singular Integral Equations. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8199-9_6.

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Böttcher, Albrecht, and Bernd Silbermann. "Toeplitz determinants." In Springer Monographs in Mathematics. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-662-02652-6_10.

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Krasovsky, Igor. "Aspects of Toeplitz Determinants." In Random Walks, Boundaries and Spectra. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0346-0244-0_16.

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Böttcher, Albrecht, and Bernd Silbermann. "Determinants and Eigenvalues." In Introduction to Large Truncated Toeplitz Matrices. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1426-7_5.

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Büttcher, Albrecht, Lenny Fukshansky, Stephan Ramon Garcia, and Hiren Maharaj. "Lattice Theory and Toeplitz Determinants." In Operator Theory in Different Settings and Related Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-62527-0_4.

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Tracy, Craig A., and Harold Widom. "Natural Boundary for a Sum Involving Toeplitz Determinants." In Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49182-0_29.

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Girko, V. L. "The Determinants of Toeplitz and Hankel Random Matrices." In Theory of Random Determinants. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1858-0_11.

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Basor, Estelle, and Torsten Ehrhardt. "Asymptotic Formulas for Determinants of a Special Class of Toeplitz + Hankel Matrices." In Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49182-0_9.

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Widom, Harold. "Toeplitz Determinants, Random Matrices and Random Permutations." In Toeplitz Matrices and Singular Integral Equations. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8199-9_19.

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Conference papers on the topic "Toeplitz determinant"

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Its, Alexander R. "Asymptotic Analysis of the Toeplitz and Hankel Determinants via the Riemann-Hilbert Method." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0102.

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