Solution Theory for Systems of Bilinear Equations

Charles R. Johnson; Helena Šmigoc; Dian Yang

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arXiv · 1303.4988

Solution Theory for Systems of Bilinear Equations

Charles R. Johnson·Helena Šmigoc·Dian Yang

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Abstract

Bilinear systems of equations are defined, motivated and analyzed for solvability. Elementary structure is mentioned and it is shown that all solutions may be obtained as rank one completions of a linear matrix polynomial derived from elementary operations. This idea is used to identify bilinear systems that are solvable for all right hand sides and to understand solvability when the number of equations is large or small.

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Charles R. Johnson, Helena Šmigoc, Dian Yang. 2013-02-06. Solution Theory for Systems of Bilinear Equations. https://arxiv.org/abs/1303.4988

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