Initial commit

	new file:   ca_lanczos.m
	new file:   ca_lanczos_prop.m
	new file:   lanczos.m
	new file:   lanczos_prop.m
	new file:   runLanczos.m
	new file:   sstep_lanczos.m
	new file:   sstep_lanczos_prop.m
	new file:   test_ca_lanczos.m
Some changes to all Lanczos files. They all work as they should, including convergence and orthogonality tests
CA-Lanczos updated to use the newton basis with leja orderings.
	modified:   ca_lanczos.m
	modified:   lanczos.m
	modified:   test_ca_lanczos.m
	new file:   rr_tsqr_bgs.m
	modified:   ca_lanczos.m
	modified:   lanczos.m
	modified:   test_ca_lanczos.m
	modified:   ca_lanczos.m
	modified:   lanczos.m
	modified:   rr_tsqr_bgs.m
	modified:   test_ca_lanczos.m

Modified rr_tsqr_bgs.m, so now the factorization seems to work, even for the case when R is not full rank.
modified:   ca_lanczos.m
modified:   test_ca_lanczos.m
modified:   ca_lanczos.m
modified:   lanczos.m
modified:   rr_tsqr_bgs.m
modified:   test_ca_lanczos.m

RR-TSQR-BGS now works correctly.
	modified:   ca_lanczos.m
	modified:   lanczos.m
	modified:   rr_tsqr_bgs.m
	modified:   test_ca_lanczos.m
	modified:   ca_lanczos.m
	modified:   lanczos.m
	modified:   rr_tsqr_bgs.m
	modified:   test_ca_lanczos.m
	modified:   ca_lanczos.m
	modified:   lanczos.m
	modified:   rr_tsqr_bgs.m
	modified:   test_ca_lanczos.m
modified:   ca_lanczos.m
modified:   test_ca_lanczos.m

Final version before going back from Berkeley. Full orthogonalization seems to work well in most cases, some problems with estimating smallest eigenvalues.
	new file:   normalize.m
	new file:   project.m
	new file:   projectAndNormalize.m
	new file:   randomizeNullSpace.m
	deleted:    rr_tsqr_bgs.m
	new file:   test_ca_lanczos_performance.m
	new file:   tsqr.m
Seems like CA-Lanczos using the monomial basis is more accurate when run on TDSE (runLanczos.m). This needs to be investigated further.

modified:   ca_lanczos.m
modified:   ca_lanczos_prop.m
modified:   lanczos_prop.m
modified:   runLanczos.m
modified:   sstep_lanczos_prop.m
modified:   test_ca_lanczos.m
	modified:   ca_lanczos_prop.m
	modified:   test_ca_lanczos.m
update_omega() now works.

 	modified:   ca_lanczos.m
	modified:   test_ca_lanczos.m
Some code restructuring.

	modified:   ca_lanczos.m
	new file:   matrix_powers_monomial.m
	renamed:    newton_basis.m -> matrix_powers_newton.m
	modified:   test_ca_lanczos.m
	modified:   ca_lanczos.m
	modified:   ca_lanczos_prop.m
	modified:   lanczos.m
	modified:   lanczos_prop.m
	modified:   runLanczos.m
	modified:   test_ca_lanczos.m
	modified:   ca_lanczos.m
	modified:   lanczos.m
	modified:   test_ca_lanczos.m