steepest descent वाक्य
उदाहरण वाक्य
मोबाइल
- There exists a method for extracting the asymptotic behavior of solutions of Riemann Hilbert problems, analogous to the method of stationary phase and the method of steepest descent applicable to exponential integrals.
- A ( properly speaking ) nonlinear steepest descent method was introduced by Kamvissis, K . McLaughlin and P . Miller in 2003, based on previous work of Lax, Levermore, Deift, Venakides and Zhou.
- In both the original and the preconditioned conjugate gradient methods one only needs to set \ beta _ k : = 0 in order to make them locally optimal, using the line search, steepest descent methods.
- The mathematical explanation of the better convergence behavior of the method with the Polak Ribi�re formula is that the method is "'locally optimal "'in this case, in particular, it does not converge slower than the locally optimal steepest descent method.
- Most people go to the theme park, and they don't look at what's going on behind the scenes, " said Luan, who worked alongside fellow classmate Tony Jiang to determine how close the steepest descent on the Scream ride comes to free fall.
- While it may not be possible to evaluate the integrals explicitly, asymptotic properties of y ( x, t ) as t \ rightarrow \ infty may be obtained from the integral expression, using methods such as the method of stationary phase or the method of steepest descent.
- The fixed-point problem can be solved with fixed-point iterations, also called ( block ) Gauss Seidel iterations, The convergence of the fixed point iterations can be stabilized and accelerated by Aitken relaxation and steepest descent relaxation, which adapt the relaxation factor in each iteration based on the previous iterations.
- It can be shown that any sufficiently fast decaying smooth solution will eventually split into a finite superposition of solitons travelling to the right plus a decaying dispersive part travelling to the left . This was first observed by and can be rigorously proven using the nonlinear steepest descent analysis for oscillatory Riemann Hilbert problems.
- The approximate functional equation gives an estimate for the size of the error term . and derive the Riemann Siegel formula from this by applying the method of steepest descent to this integral to give an asymptotic expansion for the error term " R " ( " s " ) as a series of negative powers of Im ( " s " ).
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