The supplied matrix is validated as a square (-1, 0, 1) matrix, and the sign-corrected product of system-spanning sets of disjunct loops is summed over all levels of feedback, and the result returned. Ambiguous results are returned as NA.
References
Puccia, C. J. and Levins, R. (1986) Qualitative Modeling of Complex Systems: An Introduction to Loop Analysis and Time Averaging. Cambridge: Harvard University Press. <tools:::Rd_expr_doi("10.4159/harvard.9780674435070")>.