Results 71 to 80 of about 1,319 (203)
Complex wedge-shaped matrices: A generalization of Jacobi matrices
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Hnětynková, Iveta, Plešinger, Martin
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Eigenproblem for Jacobi matrices: hypergeometric series solution [PDF]
We study the perturbative power series expansions of the eigenvalues and eigenvectors of a general tridiagonal (Jacobi) matrix of dimension d . The (small) expansion parameters are the entries of the two diagonals of length d −1 sandwiching the principal diagonal that gives the unperturbed ...
Kuznetsov, Vadim B., Sklyanin, Evgeny K.
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Reinforcement Learning for Jump‐Diffusions, With Financial Applications
ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
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A reliable computational approach for fractional isothermal chemical model
This article analyzes and computes numerical solutions for the fractional isothermal chemical (FIC) model. This work suggested a Jacobi collocation method (JCM) to examine the FIC model.
Devendra Kumar +2 more
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A Strong Szegő Theorem for Jacobi Matrices [PDF]
We use a classical result of Gollinski and Ibragimov to prove an analog of the strong Szego theorem for Jacobi matrices on $l^2(\N)$. In particular, we consider the class of Jacobi matrices with conditionally summable parameter sequences and find necessary and sufficient conditions on the spectral measure such that $\sum_{k=n}^\infty b_k$ and $\sum_{k ...
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Limited contribution by non‐volant small mammals to regeneration in ironstone rocky outcrops
Abstract Introduction Animal‐mediated seed dispersal contributes substantially to natural regeneration in degraded areas. However, the role of seed dispersal by non‐volant small mammals (NVSM), mainly marsupials and rodents, in contributing to regeneration remains underexplored, especially in mountaintop, open‐canopy ecosystems.
Maria Fernanda Regiolli Godoi +3 more
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Construction of Fractional Pseudospectral Differentiation Matrices with Applications
Differentiation matrices are an important tool in the implementation of the spectral collocation method to solve various types of problems involving differential operators.
Wenbin Li, Hongjun Ma, Tinggang Zhao
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The Stenger conjectures and the A-stability of collocation Runge-Kutta methods
Stenger conjectures are claims about the location of the eigenvalues of matrices whose elements are certain integrals involving basic Lagrange interpolating polynomials supported on the zeros of orthogonal polynomials. In this paper, we show the validity
Rachid Ait-Haddou, Hoda Alselami
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Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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