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math.RA2025★ 4 cited
On Parametric Linear System Solving
Robert M. Corless, Mark Giesbrecht, Leili Rafiee Sevyeri +1
Parametric linear systems are linear systems of equations in which some symbolic parameters, that is, symbols that are not considered to be candidates for elimination or solution i…
cs.SC2025
Refined bit complexity for the computation of at least one point per connected component of a smooth complete intersection real algebraic set
Jesse Elliott, Mark Giesbrecht, Edern Gillot +2
We refine the bit complexity analysis of an algorithm for the computation of at least one point per connected component of a smooth real algebraic set, yielding exponential speedup…