Results 91 to 100 of about 98,636 (202)
Modified Lagrange–Jacobi Functions
MathematicsThis paper presents modified Lagrange–Jacobi functions derived from the sine, exponential, and hyperbolic tangent coordinate transformations. The resulting Lagrange–Jacobi functions and their respective matrix elements for observables can be reduced to ...
Gaotsiwe Joel Rampho
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Solving the fractional order integro-differential equations using fractional Jacobi functions
پژوهشهای ریاضی, 2022 In this paper, we are intend to present a numerical algorithm for computing approximate solution of linear and nonlinear Fredholm, Volterra and Fredholm-Volterra integro-differential equations. The approximated solution is written in terms of fractional
Zahra Delkhoush, Maryam Arabameri
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Upward Extension of the Jacobi Matrix for Orthogonal Polynomials
Journal of Approximation Theory, 1996 Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) which uniquely characterizes the orthogonal polynomials. We investigate new orthogonal polynomials by adding to the Jacobi matrix $r$ new rows and columns, so that the original
Ronveaux, André, Van Assche, Walter
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Matrix Quasi-Exactly Solvable Jacobi Elliptic Hamiltonian
Open Journal of Microphysics, 2013 We construct a new example of 2 × 2-matrix quasi-exactly solvable (QES) Hamiltonian which is associated to a potential depending on the Jacobi elliptic functions. We establish three necessary and sufficient algebraic conditions for the previous operator to have an invariant vector space whose generic elements are polynomials.
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Sharp Spectral Estimates for Periodic Matrix-Valued Jacobi Operators [PDF]
, 2015 For the periodic matrix-valued Jacobi operator $J$ we obtain the estimate of the Lebesgue measure of the spectrum $|\s(J)|\le4 \min_n\Tr(a_na_n^*)^\frac12$, where $a_n$ are off-diagonal elements of $J$. Moreover estimates of width of spectral bands are obtained.
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A first-order spectral phase transition in a class of periodically modulated Hermitian Jacobi matrices [PDF]
Opuscula Mathematica, 2008 We consider self-adjoint unbounded Jacobi matrices with diagonal \(q_n = b_{n}n\) and off-diagonal entries \(\lambda_n = n\), where \(b_{n}\) is a \(2\)-periodical sequence of real numbers. The parameter space is decomposed into several separate regions,
Irina Pchelintseva
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, 2003 We announce three results in the theory of Jacobi matrices and Schr\"odinger operators. First, we give necessary and sufficient conditions for a measure to be the spectral measure of a Schr\"odinger operator $-\f{d^2}{dx^2} +V(x)$ on $L^2 (0,\infty ...
Damanik, David +2 more
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Matrix methods for calculating zeros, coefficients, Christoffel numbers, and derivatives of some orthogonal polynomials [PDF]
Jacobi matrix method for calculating zeros, coefficients, Christoffel numbers, and derivatives of orthogonal ...
Luther, H. A., Nash, J. M.
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Remote SensingThe eigen-decomposition of a covariance matrix is a key step in the Direction of Arrival (DOA) estimation algorithms such as subspace classes. Eigen-decomposition using the parallel Jacobi algorithm implemented on FPGA offers excellent parallelism and ...
Shuang Zhou, Li Zhou
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An eye and neck coordination strategy based on Jacobi matrix
MATEC Web of Conferences, 2018 In order to research the effect of eye and neck rotational velocity on tracking accuracy in the process of target tracking of humanoid vision system, an optimal method of angle decomposition was be proposed based on the Jacobi matrix.
Fan Fan, Wu Han, Dong Mingli
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