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Journal of Optimization Theory and Applications, 2010
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Cheng, W. Y., Li, D. H.
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Cheng, W. Y., Li, D. H.
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Preconditioned Spectral Gradient Method
Numerical Algorithms, 2002Modifications of the spectral gradient method are presented, which globalize the method and present strategies to apply preconditioning techniques. The condition of uniform positive definiteness of the preconditioning matrices is replaced with mild conditions on the search directions.
Luengo, F. +3 more
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Advanced spectral-analysis methods
Proceedings of the International School of Physics “Enrico Fermi”, 1997The purpose of time-series analysis is to detect basic properties of the system that engenders a time series. The hope of predicting the system's future evolution is closely related to the possibility of such detection. The most easily predictable components of a system's evolution are the regular, deterministic ones; hence we look for trends and ...
Ghil M., TARICCO, Carla
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Spectral multiplexing method for digital snapshot spectral imaging
Applied Optics, 2009We propose a spectral imaging method for piecewise "macropixel" objects, which allows a regular digital camera to be converted into a digital snapshot spectral imager by equipping the camera with only a disperser and a demultiplexing algorithm. The method exploits a "multiplexed spectrum" intensity pattern, i.e., the superposition of spectra from ...
Michael A, Golub +5 more
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2018
Thenumerical solution of ordinary differential equations (ODEs)with boundary conditions is studied here. Functions are approximated by polynomials in a Chebychev basis. Sections then cover spectral discretization, sampling, interpolation, differentiation, integration, and the basic ODE.
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Thenumerical solution of ordinary differential equations (ODEs)with boundary conditions is studied here. Functions are approximated by polynomials in a Chebychev basis. Sections then cover spectral discretization, sampling, interpolation, differentiation, integration, and the basic ODE.
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, 2014 Spectral Volume and Spectral Difference Methods
2016Abstract This chapter describes two related methods, the spectral volume and spectral difference methods for hyperbolic conservation laws. Similar to the discontinuous Galerkin method, both are inspired by the finite element and finite volume methods in that multiple degrees of freedom are defined in each element, and the cell-averaged mean obeys the
Z.J. Wang +3 more
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Mathematical Programming, 2015
This paper considers the problems of maximization and minimization of the spectral radius for nonnegative matrices with independent row uncertainties. The author proves necessary theoretical results on on-row corrections of nonnegative matrices. The spectral simplex methods for maximizing and minimizing the spectral radius are proposed.
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This paper considers the problems of maximization and minimization of the spectral radius for nonnegative matrices with independent row uncertainties. The author proves necessary theoretical results on on-row corrections of nonnegative matrices. The spectral simplex methods for maximizing and minimizing the spectral radius are proposed.
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Applied Numerical Mathematics, 2000
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2004
Spectral methods represent a family of methods for the numerical approximation of partial differential equations. Their common denominator is to rely on high-order polynomial expansions, notably trigonometric polynomials for periodic problems, and orthogonal Jacobi polynomials for nonperiodic boundary-value problems.
C. Canuto, QUARTERONI, ALFIO MARIA
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Spectral methods represent a family of methods for the numerical approximation of partial differential equations. Their common denominator is to rely on high-order polynomial expansions, notably trigonometric polynomials for periodic problems, and orthogonal Jacobi polynomials for nonperiodic boundary-value problems.
C. Canuto, QUARTERONI, ALFIO MARIA
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