TAONTR: minor fix to code style

Tao: PETSc does not print warnings

TAOSetUpdate: change the Update callback

In SNES, the update function does not uses contexts, and thus it does not appear in the callback prototype
With TAO, since we are explcitily passing the ctx

TAOSetUpdate: change the Update callback

In SNES, the update function does not uses contexts, and thus it does not appear in the callback prototype
With TAO, since we are explcitily passing the ctx via TAOSetUpdate, we have to give it back to the user when performing the call

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TaoCreate_XYZ() docstring updates

Change CHKERRQ(ierr) after PetscInitialize() calls in examples to if (ierr) return ierr;

Since the PETSc initialization may not have been completed in the failed PetscInitialize() it is not
propper

Change CHKERRQ(ierr) after PetscInitialize() calls in examples to if (ierr) return ierr;

Since the PETSc initialization may not have been completed in the failed PetscInitialize() it is not
propper to call the PETSc error handling routines

Commit-type: bug-fix, testing-fix, example
Reported-by: jed Brown <jed@jedbrown.org>

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TAO examples: minor fixes

TS: added interface function to reset the internal trajectory object

this calls TSTrajectoryDestroy since TSTrajectoryReset may not free diskspace

Update examples

Merge branch 'denera/tao-nls-ntr-ksp-tag-fix' [PR #1174]

* denera/tao-nls-ntr-ksp-tag-fix:
Tao: NLS, NTR and NTL options and doc cleanup

defunct options removed from options database comments

code style fixes

replacing strlcat calls with KSP prefix API

Tao KSP prefixes fixed to account for multiple Tao solvers with their own prefixes

KSP prefix updated for unconstrained Newton solvers

Regularization changed to x-x_old, user hook added into optimization loops, eliminated explicit MatTransposeMatMult option in Hessian computation

logical order bug in diagbrdn update fixed, tests updated again

symmetric bad broyden work merged in and test added

test files updated to account for minor roundoff differences

memleak fixed and output files updated

alt file for rosenbrock_10

Fixed a few more things. Added back in recycling. Added the ability for the user to set their own preconditioner with TaoBNCGSetH0.

Removed the experimental Steffenson acceleration feature from this

Fixed a few more things. Added back in recycling. Added the ability for the user to set their own preconditioner with TaoBNCGSetH0.

Removed the experimental Steffenson acceleration feature from this branch.

Fixed everything in Todd's code walkthrough except turning the VecDots into VecDotBegin, VecDotEnd combinations

Forgot to also remove xi from DiagBrdn. That is gone now too.

Updated the TAO manual so far.

Replaced VecDot with VecDotBegin and VecDotEnd in DiagBrdn.

Addressing an uninitialized variable problem after merging with another branch.

Changed the PetscMaxes back into zero checks; they were degrading the solvers.

Whatever was broken is now fixed. Need to test all methods officially again. diagbrdn.c was reset to before Alp and Todd's comments were fixed.

Fixed m=1 in diagbrdn.c

Tried changing the PetscMax bounds to 1.e-10 from 1.e-8

Bring it back to 1.e-8 since it did a little worse. Worth tinkering with.

Changed the last couple too-specific error checks on scaling terms in DiagBrdn.

Changed data structure in bncg.h to put IS data type right after Vec.

Removed alpha==-1.0 from DiagBrdn. Updated TAO manual to reflect name changes and added a parameter to it not added before.

Added a KSPInitialize in BNCG_Create

Had to fix some logic with recycling.

Minor bugfix.

Fixed the recycle off-by-one bug from last commit.

Fixed issues regarding complex numbers.

Fix call to PetscIsInfOrNan.

Managed to complete many of Todd's code walkthrough pt. 2 comments.

Fixed things from Todd's code walkthrough. Primarily allowed more user options and added some comments on functionality.

Changed default behavior of KouDai.

Changed CG_Types to not have an underscore.

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