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SPECTRA โ€“ a Maple library for solving linear matrix inequalities in exact arithmetic

SPECTRA โ€“ a Maple library for solving linear matrix inequalities in exact arithmetic

This document describes our freely distributed Maple library spectra, for Semidefinite Programming solved Exactly with Computational Tools of Real Algebra. It solves linear matrix inequalities with symbolic computation in exact arithmetic and it is targeted to small-size, possibly degenerate problems for which symbolic infeasibility or feasibility certificates are required.