Results 71 to 80 of about 124,064 (205)

Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials

JTAM (Jurnal Teori dan Aplikasi Matematika)
Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika, Fransiskus Fran, Yundari Yundari   +2 more
doaj   +1 more source

Complex Factorizations of the Lucas Sequences via Matrix Methods

Journal of Applied Mathematics, 2014
Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
doaj   +1 more source

Solving Stochastic Climate‐Economy Models: A Deep Least‐Squares Monte Carlo Approach

Mathematical Finance, Volume 36, Issue 4, Page 751-770, October 2026.
ABSTRACT Stochastic versions of recursive integrated climate‐economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid‐based dynamic programming (e.g., value‐function iteration/projection ...
Aleksandar Arandjelović, Pavel V. Shevchenko, Tomoko Matsui, Daisuke Murakami, Tor A. Myrvoll   +4 more
wiley   +1 more source

Chebyshev polynomials and their some interesting applications

Advances in Difference Equations, 2017
The main purpose of this paper is by using the definitions and properties of Chebyshev polynomials to study the power sum problems involving Fibonacci polynomials and Lucas polynomials and to obtain some interesting divisible properties.
Chen Li, Zhang Wenpeng
doaj   +1 more source

An effective Bombieri–Vinogradov error term for sifting problems

Mathematika, Volume 72, Issue 4, October 2026.
Abstract In number theory, many major results related to the additive properties of primes are proven using the methods of sieve theory. However, in nearly every case, the existing proofs of these results are ineffective, in that explicit values for which they hold cannot be computed.
Daniel R. Johnston
wiley   +1 more source

Counting on Chebyshev Polynomials [PDF]

, 2009
Chebyshev polynomials have several elegant combinatorial interpretations. Specificially, the Chebyshev polynomials of the first kind are defined by T0(x) = 1, T1(x) = x, and Tn(x) = 2x Tn-1(x) - Tn-2(x). Chebyshev polynomials of the second kind Un(x) are
Benjamin, Arthur T., Walton, Daniel, \u2707   +1 more
core   +1 more source

A Novel Orthogonal TU¯ Chebyshev Polynomial Basis for High-Accuracy Solution of Fractional Integro-Differential Equations

Journal of Mathematics
The main question addressed in this study is whether a newly constructed orthogonal basis, which is a combination of first- and second-kind Chebyshev polynomials, can provide a more accurate and efficient numerical method for solving fractional integro ...
Samiye Akhlaghi, Maryam Bahmanpour, Majid Tavassoli Kajani   +2 more
doaj   +1 more source

Direct Construction of Quantized Tensor Trains With Small Rank for Laplace‐ or Gaussian‐Transformed Analytic Functions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley   +1 more source

Generalized Chebyshev polynomials [PDF]

, 2020
-We generalize the first and second kind Chebyshev polynomials by using the concepts and the operational formalism of the Hermite polynomials of the Kampé de Fériet type.
Clemente Cesarano
core  

The Faber polynomials for annular sectors and an application to the iterative solution of linear systems of equations [PDF]

, 1994
A conformal mapping of the exterior of the unit circle to the exterior of a region of the complex plane determines the Faber polynomials for that region.
Myers, Nicholas John, Myers, N.J
core