Results 101 to 110 of about 189,197 (211)
On the maximum likelihood degree of Gaussian graphical models
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML‐degree behaves monotonically on induced subgraphs. Furthermore, we complete a missing argument that the ML‐degree of the nth$n{\rm th}$ cycle is larger than 1 for any n⩾4$n\geqslant 4$, therefore completing the characterization ...
Carlos Améndola +3 more
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Results in EngineeringThis paper introduces a novel mixed finite element method employing Bernstein polynomials to solve the two-dimensional steady Navier-Stokes equations, addressing critical challenges in computational fluid dynamics.
Lanyin Sun, Ziwei Dong
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On Bernstein Polynomials Method to the System of Abel Integral Equations
Abstract and Applied Analysis, 2014 This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the
A. Jafarian +3 more
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New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
مجلة بغداد للعلوم, 2015 Based on analyzing the properties of Bernstein polynomials, the extended orthonormal Bernstein polynomials, defined on the interval [0, 1] for n=7 is achieved. Another method for computing operational matrices of derivative and integration D_b and R_(n+1)
Baghdad Science Journal
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Variation Convergence for Bernstein Polynomials [PDF]
Proceedings of the American Mathematical Society, 1968 Abstract not ...
openaire +1 more source
On the Complexity of Optimization over the Standard Simplex [PDF]
We review complexity results for minimizing polynomials over the standard simplex and unit hypercube.In addition, we show that there exists a polynomial time approximation scheme (PTAS) for minimizing Lipschitz continuous functions and functions with ...
Klerk, E. de +2 more
core
A resultant matrix for scaled Bernstein polynomials [PDF]
, 2000 The established theory of the resultant of two polynomials assumes that they are expressed in the power (monomial) basis, and a basis transformation is therefore necessary if the resultant of two Bernstein polynomials is required.
Joab R. Winkler, Winkler, Joab R.
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Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We characterize the extreme and exposed points of the unit ball (with respect to the L1$L^1$‐norm) in the shift‐invariant space generated by the Gaussian function, as well as in the quasi‐shift‐invariant space generated by the hyperbolic secant.
Markus Valås Hagen +3 more
wiley +1 more source
Linearizations of matrix polynomials in Bernstein bases
, 2016 We discuss matrix polynomials expressed in a Bernstein basis, and the associated polynomial eigenvalue problems. Using Möbius transformations of matrix polynomials, large new families of strong linearizations are generated.
Mackey, D. Steven +3 more
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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