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The convergence of this method was checked by error calculation.
In numerical results, refinement schemes are used to demonstrate the convergence of this method.
The proof of convergence of this method relies on energy techniques.
Moreover, we discuss the conditions that, on a theoretical level, guarantee the convergence of this method.
The method is easy to apply, and the convergence of this method depends on a good initial choice of slopes.
The result and convergence of this method show that QPSO performs very well and is comparable to PSO.
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The original simplicial method (OSM), a variant of the classic Kelley's cutting plane method, has been shown to converge to the minimizer of a composite convex (g) and submodular (f) objectives g+f, though no rate of convergence for this method was known.
To demonstrate the usefulness and the convergence rates of this method, we design a non-trivial test MNCP problem arising in shape-preserving bi-harmonic interpolation and apply our method to this test problem.
The accuracy and convergence characteristics of this method are investigated, and the natural frequencies and modes of open cylindrical shells with a circumferential thickness taper are presented for various curvatures, aspect ratios, boundary conditions and thickness ratios.
Next, Section 3 discusses the convergence properties of this method.
It is shown that the convergence analysis of this method requires only the partially relaxed strongly monotonicity.
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