Hemiplex numbers and factoring symmetric indefinite matrices

I’m pleased to announce the release of two new numeric packages, HemiplexNumbers and HemiplexFactorizations, and their accompanying manuscript Jordan algebras, hemiplex numbers, and the Cholesky decomposition of arbitrary symmetric matrices with my co-author Alan Edelman. This is a fun example of Julia’s flexibility: we define a “new” (aka, rediscover an old) type of number, and then show that it’s useful in solving an apparently-unsolvable problem, computing the Cholesky factorization of indef...