We give comparisons between the Galerkin projection approach (GA) and the minimal residual (MR) approach for large-scale problems using the global LSQR (Gl-LSQR), the preconditioned global conjugate gradient method
(PGCG), the direct Kronecker product when solving the reduced least squares minimization problem, and the Hu-Reichel method (HR).
Analysis of linear programming gradient method
for optimal design of water supply network.
We will consider a discrete gradient method
since the optimization problems will be solved with PC.
Multiplier and gradient methods
, Journal of Optimization Theory and Applications 4(5): 303-320.
1c: the topological gradient method
for the restoration process was applied with [c.
To solve the non-linear equations (19) in this paper, the following hybrid algorithms combining the standard GA and gradient methods
are offered below:
Percoll density gradient method
of enrichment yielded large sized colonies but these colonies could not be sub-cultured for more than three times.
In order to ensure the convergence of the problem towards a valid solution, the directions computed by the gradient method
at each step are chosen so that the external energy always decreases when minimizing the global energy.
The gas gradient method
can avoid some problems associated with surface chamber techniques.
The first complete description of the conjugate gradient method
appeared in a paper published in the NBS Journal of Research by Magnus R.
The matrix solution methods were the skyline method for the flow field and the conjugate gradient method
for the temperature field, respectively.
The other method is called the Albumin Gradient Method
and more often produces boys.