doc: fixes

brgn.c documentation Options Database Keys: added the default "l2prox" and changed the ordering

brgn.c set the default gn->reg_type as l2prox, so that no segmentation violation error even if user not providing -tao_brgn_regularization_type

Revert the function name where it is referenced

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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updated tomography1 test output

requires:!quad -> !__float128

whitespace fixes and:

"/export/home/petsc/petsc.next/src/tao/leastsquares/examples/tutorials/tomography.c", line 311: warning: newline not last character in file
"/export/home/petsc/petsc.next/src/t

whitespace fixes and:

"/export/home/petsc/petsc.next/src/tao/leastsquares/examples/tutorials/tomography.c", line 311: warning: newline not last character in file
"/export/home/petsc/petsc.next/src/tao/leastsquares/examples/tutorials/cs1.c", line 277: warning: newline not last character in file

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disabling quad tests for tomography and cs1 to prevent mat read from file errors

changing brgn test tolerances to eliminate necessity for some alt files

fix compile warnings/errors

"/export/home/petsc/petsc.next-2/src/tao/leastsquares/impls/brgn/brgn.c", line 516: warning: newline not last character in file

/sandbox/petsc/petsc.next-3/s

fix compile warnings/errors

"/export/home/petsc/petsc.next-2/src/tao/leastsquares/impls/brgn/brgn.c", line 516: warning: newline not last character in file

/sandbox/petsc/petsc.next-3/src/tao/leastsquares/impls/brgn/ftn-custom/zbrgnf.c:42:1: error: expected '}' at end of input

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64bit integer problem fixed for data files, options flags fixed for leastsquares tests

documentation and option name changes

follow Barry suggestions and more, removed unneccessary line breaks, renamed BRGN_REGULARIZATION_TYPES captalize for defined constants

Changes suggested by Barry except the .tex files and why use the define instead of enum

fortran interfaces fixed and all tests passing

BRGN: finished tomography test, passed with three test cases: l1dict, l2prox, user (2-norm regularizer ||x||^2)

Both tomography and cs1 examples work with both l2prox and l1dict

algorithm structure changes to combine old L2 reg with new L1 reg, and permit user regularizers

added bounded constraint, non-negative x

Tomography example works: Consolidated A,b, xGT into one file (was three files).

read from binary Mat/Vec, eliminate the array datastructure, works for a small example now!

adding tomography L1 reconstruction example, done for generating data in matlab and convert to petsc binary format, todo read data and test reconstruction

added D matrix for L1 norm

cleared comments of matrix vector dimension, and targeted problem to solve