Solution theory for complete bilinear systems of equations
Charles R. Johnson, Joshua A. Link · Numerical Linear Algebra with Applications · 2009
Abstract For A1,…, Am∈Mp, q(F) and g∈Fm, any system of equations of the form yTAix=gi, i=1,…, m, with y varying over Fp and x over Fq is called bilinear. Given here are some general observations about bilinear systems, a complete solution theory for complete systems (m=pq, A1,…, Am linearly independent) and implications of the complete theory for general (incomplete, m