About
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MassBalanceCal collects mass balance algorithms for petrology in general, with MCMC for propagating errors on phases and bulk compositions, including:

Non-negative least square algorithm

Matrix decomposition algorithm of Li et al. (2020).

Algorithm of Albarede and Provost (1977) (future update)

Please contact me at yishen.zhang@kuleuven.be or drop issue, PR for bug reporting, new feature requirement or contribution.

**HOW TO CITE**

If you use this package please cite the relevant publications for:

-- Zhang Y, Namur O, Charlier B, 2020. Experimental liquid lines of descent and Silicate Liquid Immiscibility for low-Ti and high-Ti basalts of the Emeishan Large Igneous Province, SW China. AGU Fall Meeting 2021.

**Also need to cite the papers for these excellent algorithms**:

For non-negative algorithm:

-- Lawson C., Hanson R.J., (1987) Solving Least Squares Problems, SIAM

For matrix decomposition:

-- Li, X., Zhang, C., Almeev, R.R. and Holtz, F., 2020. GeoBalance: An Excel VBA program for mass balance calculation in geosciences. Geochemistry, 80(2), p.125629

-- Ghiorso, M.S., 1983. LSEQIEQ: A FORTRAN IV subroutine package for the analysis of multiple linear regression problems with possibly deficient pseudorank and linear equality and inequality constraints. Computers & Geosciences, 9(3), pp.391-416.