Comparisons between PEST and TAO (idaholab#22220)

modules/optimization/examples/bimaterial/gold/main_out_optInfo_0001_lmvm.csv

@@ -0,0 +1,8 @@
+cnorm,current_iterate,function_value,gnorm,gradient_iterate,hessian_iterate,objective_iterate,xdiff
+0,0,0.0027559190255043,0.0020980201625854,0,0,5,1
+0,1,0.0011436194086151,0.0012646984507389,0,0,25,341
+0,2,0.00066401427375986,0.002609319456353,0,0,5,1
+0,3,0.00030817664707322,0.0014179698042894,0,0,5,1
+0,4,2.0142789211171e-05,0.00036418217816026,0,0,5,1
+0,5,5.7454708065525e-06,7.8329160282155e-05,0,0,5,1
+0,6,4.8895578321809e-06,5.5213436174544e-06,0,0,5,1

modules/optimization/examples/bimaterial/gold/main_out_optInfo_0001_nm.csv

@@ -0,0 +1,16 @@
+cnorm,current_iterate,function_value,gnorm,gradient_iterate,hessian_iterate,objective_iterate,xdiff
+0,1,0.0027559190255043,0.0020800280563548,0,0,3,1
+0,2,0.00089784067857055,0.0034672376867739,0,0,2,1
+0,3,0.00089784067857055,0.0018580783469338,0,0,1,1
+0,4,0.00089784067857055,0.00060014784528086,0,0,1,1
+0,5,0.00012032946950342,0.0012502070399019,0,0,2,1
+0,6,0.00012032946950342,0.00077751120906713,0,0,2,1
+0,7,0.00012032946950342,0.00018088323722629,0,0,2,1
+0,8,0.00010539609933997,6.1690449462141e-05,0,0,2,1
+0,9,2.8944854931607e-05,9.1384614571812e-05,0,0,2,1
+0,10,2.8944854931607e-05,7.6451244408368e-05,0,0,2,1
+0,11,5.7147045142231e-06,5.3978230616923e-05,0,0,2,1
+0,12,5.7147045142231e-06,2.3230150417384e-05,0,0,2,1
+0,13,5.7147045142231e-06,1.5221607202598e-05,0,0,1,1
+0,14,5.7147045142231e-06,1.3244963526617e-05,0,0,2,1
+0,15,5.7147045142231e-06,4.1115087138692e-06,0,0,2,1