sp\: bandwidth = 2000+1+2000.
sp\: is A diagonal? no.
sp\: is band density (0.00124975) > bandden (0.5) to try banded solver? no.
sp\: is A triangular? no.
sp\: is A morally triangular? no.
sp\: is A a candidate for Cholesky (symmetric, real positive or negative diagonal)? yes.
sp\: is CHOLMOD's symbolic Cholesky factorization (with automatic reordering) successful? yes.
sp\: is CHOLMOD's numeric Cholesky factorization successful? yes.
sp\: is CHOLMOD's triangular solve successful? yes.
Elapsed time is 5.738257 seconds.