+ /iRt^RIt^RIt^RIHt^RIHt^RIH t H t !RR] 4t R Rlt R RltRR ltR tR tR#)z, Spectral Algorithm for Nonlinear Equations N)OptimizeResult)_check_unknown_options)_nonmonotone_line_search_cruz_nonmonotone_line_search_chengc]tRt^ tRtR#)_NoConvergenceN)__name__ __module__ __qualname____firstlineno____static_attributes__rV/var/www/html/photoedit/myenv/lib/python3.14/site-packages/scipy/optimize/_spectral.pyrr srrc \a*a+a,\V4V R9d\RV : R24h^o,V fV*3Rlp VfV+V,3RlpV,3Rlp^.p\WVVWR4wpppo+pp^pS+o*T pV!V4p\P!S+.V 4pRpS*pR pR pV!V4pV'd\ R V R VR RVR 24Ve V!VV4VVV,V,8dRpR pEM\ V4^V , 8d&^V , \P!V4,pM\ V4V 8dT pV)V,pV !VVV4p V R8Xd\VVVVV R7wp!p"p#p$M V R8Xd\VVVS+VVV R7wp!p"p#p$ppX"V, p%X$V, p&\P!V%V%4\P!V%V&4, pT"pT$pX#o+V R8XdVPV#4V^, pEK^\VVVR7p'\VV4p(\V'VVV(V^,VRR7p)V)# \dKCi;i)a Solve nonlinear equation with the DF-SANE method Options ------- ftol : float, optional Relative norm tolerance. fatol : float, optional Absolute norm tolerance. Algorithm terminates when ``||func(x)|| < fatol + ftol ||func(x_0)||``. fnorm : callable, optional Norm to use in the convergence check. If None, 2-norm is used. maxfev : int, optional Maximum number of function evaluations. disp : bool, optional Whether to print convergence process to stdout. eta_strategy : callable, optional Choice of the ``eta_k`` parameter, which gives slack for growth of ``||F||**2``. Called as ``eta_k = eta_strategy(k, x, F)`` with `k` the iteration number, `x` the current iterate and `F` the current residual. Should satisfy ``eta_k > 0`` and ``sum(eta, k=0..inf) < inf``. Default: ``||F||**2 / (1 + k)**2``. sigma_eps : float, optional The spectral coefficient is constrained to ``sigma_eps < sigma < 1/sigma_eps``. Default: 1e-10 sigma_0 : float, optional Initial spectral coefficient. Default: 1.0 M : int, optional Number of iterates to include in the nonmonotonic line search. Default: 10 line_search : {'cruz', 'cheng'} Type of line search to employ. 'cruz' is the original one defined in [Martinez & Raydan. Math. Comp. 75, 1429 (2006)], 'cheng' is a modified search defined in [Cheng & Li. IMA J. Numer. Anal. 29, 814 (2009)]. Default: 'cruz' References ---------- .. [1] "Spectral residual method without gradient information for solving large-scale nonlinear systems of equations." W. La Cruz, J.M. Martinez, M. Raydan. Math. Comp. **75**, 1429 (2006). .. [2] W. La Cruz, Opt. Meth. Software, 29, 24 (2014). .. [3] W. Cheng, D.-H. Li. IMA J. Numer. Anal. **29**, 814 (2009). chengcruzzInvalid value z for 'line_search'c2<S^V,^,, #)r)kxFf_0s&&&r eta_strategy#_root_df_sane..eta_strategyJs!a%!# #rc$<SRS, ,#)?r)rf_knexps&rfnorm_root_df_sane..fnormOsT? "rcP<\PPV4S,#N)nplinalgnorm)rrs&rfmerit_root_df_sane..fmeritSsyy~~a $&&rrFz&too many function evaluations requiredTziter z : ||F|| = gz , sigma = zsuccessful convergence)eta)shapezdf-sane)rsuccessmessagefunnfevnitmethod)rr)r ValueError _wrap_func collectionsdequeprintabsr#signrrrvdotappend _wrap_resultr)-funcx0argsftolfatolmaxfevrcallbackdispMr sigma_epssigma_0 line_searchunknown_optionsr&r.fx_kx_shapeF_k is_complexrsigma_kF_0_normprev_fsQC convergedr,F_k_normdr)alphaxpfpFps_ky_krrresultrrrs-&&&&&&&&&&&&&&, @@@r _root_df_saner\sb?+++>+8JKLL D $ } #' 3D,6t7;V-K)AsGS#z A CGSzHq)G A AI6G :  E!Jxl*WQKH I   S#  dXo- -.GI  w.wrap_funcst|v%$&& aLA La ((2A 4>D>*002Aa Aq A4Krc<S^,S8d \4hS^;;,^, uu&VPS4p\P!S!V.SO5!4P 4pS!V4pW!3#r_)rrbr#rcrd) rrrHr=r&r;r@rhris & rrjrksc|v%$&& aLA L (#A 4>D>*002Aq A4Kr)r#rcr*rd iscomplexobjre) r;r<r&rhr@r=rrLrjris f&ffff @rr2r2sP BBxxH 4?T?#))+A$::(:J BIaL  2  !    (F1Iq <gYniNNF Ng|=rr)rr")__doc__r3numpyr#scipy.optimizerscipy.optimize._optimizer _linesearchrr Exceptionrr\r2r:rarerrrrsF);V Y VrG=T  DCr