A descent Dai-Liao conjugate gradient method
based on a modified secant equation and its global convergence.
Determining the periodic response of nonlinear systems by a gradient method
. International Journal of Circuit Theory and Applications, 5(3), 255-273.
Then an optimization algorithm such as the conjugate gradient method
is applied in hopes of finding a global minimum.
Algorithm 851: CG_Descent, a conjugate gradient method
with guaranteed descent.
ALGORITHM 6: Spectral projected gradient method
. (1) if [parallel]P ([x.sub.c] - [nabla]f ([x.sub.c])) - [x.sub.c][parallel] = 0, that is, xc is stationary then (2) Stop (3) Compute [d.sub.c] = P ([x.sub.c] - [[alpha].sub.c]g ([x.sub.c])) - [x.sub.c].
We presented the iterative algorithm based on accelerated proximal gradient method
, which was termed as NAD-APG.
Based on the basic principle of the phase gradient method
, we can obtain the target line glint error as:
One is the inner iteration that completes the source reconstruction by solving (7) via the conjugate gradient method
. The cost function defined below is minimized in this process.
If the gradient and Hessian are both available, then the inverse approach is known as a Newton method; if only the gradient is available, then it is a gradient method
. For complex, heterogeneous models, computation of the gradient is still feasible, but Hessian is not.
Conjugate gradient method
 is a well known method for solving large number of equations.
2 is solved by the preconditioned conjugate gradient method
, which is applicable to solve system of large scale complex linear equations.
Iterative algorithm of a gradient method
used to determine a saddle point of a functional with constraints