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SPECTRA -- a Maple library for solving linear matrix inequalities in exact arithmetic

SPECTRA -- a Maple library for solving linear matrix inequalities in exact arithmetic

This document describes our freely distributed Maple library {\sc 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.