petsc-3.13.6 2020-09-29
Report Typos and Errors

TAONLS

Newton's method with linesearch for unconstrained minimization. At each iteration, the Newton line search method solves the symmetric system of equations to obtain the step diretion dk: Hk dk = -gk a More-Thuente line search is applied on the direction dk to approximately solve min_t f(xk + t d_k)

Options Database Keys

-tao_nls_init_type - "constant","direction","interpolation"
-tao_nls_update_type - "step","direction","interpolation"
-tao_nls_sval - perturbation starting value
-tao_nls_imin - minimum initial perturbation
-tao_nls_imax - maximum initial perturbation
-tao_nls_pmin - minimum perturbation
-tao_nls_pmax - maximum perturbation
-tao_nls_pgfac - growth factor
-tao_nls_psfac - shrink factor
-tao_nls_imfac - initial merit factor
-tao_nls_pmgfac - merit growth factor
-tao_nls_pmsfac - merit shrink factor
-tao_nls_eta1 - poor steplength; reduce radius
-tao_nls_eta2 - reasonable steplength; leave radius
-tao_nls_eta3 - good steplength; increase readius
-tao_nls_eta4 - excellent steplength; greatly increase radius
-tao_nls_alpha1 - alpha1 reduction
-tao_nls_alpha2 - alpha2 reduction
-tao_nls_alpha3 - alpha3 reduction
-tao_nls_alpha4 - alpha4 reduction
-tao_nls_alpha - alpha5 reduction
-tao_nls_mu1 - mu1 interpolation update
-tao_nls_mu2 - mu2 interpolation update
-tao_nls_gamma1 - gamma1 interpolation update
-tao_nls_gamma2 - gamma2 interpolation update
-tao_nls_gamma3 - gamma3 interpolation update
-tao_nls_gamma4 - gamma4 interpolation update
-tao_nls_theta - theta interpolation update
-tao_nls_omega1 - omega1 step update
-tao_nls_omega2 - omega2 step update
-tao_nls_omega3 - omega3 step update
-tao_nls_omega4 - omega4 step update
-tao_nls_omega5 - omega5 step update
-tao_nls_mu1_i - mu1 interpolation init factor
-tao_nls_mu2_i - mu2 interpolation init factor
-tao_nls_gamma1_i - gamma1 interpolation init factor
-tao_nls_gamma2_i - gamma2 interpolation init factor
-tao_nls_gamma3_i - gamma3 interpolation init factor
-tao_nls_gamma4_i - gamma4 interpolation init factor
-tao_nls_theta_i - theta interpolation init factor

Level

beginner

Location

src/tao/unconstrained/impls/nls/nls.c

Examples

src/tao/constrained/tutorials/tomographyADMM.c.html
src/tao/tutorials/ex4.c.html

Index of all Tao routines
Table of Contents for all manual pages
Index of all manual pages