Matrix Minimax, sorta

I have the equation aA+bB+cC+...=min.,
where a,b,c... are scalars, A,B,C are matrices,
a=b=c=...=0 is ruled out and "min." isn't
Euclidean norm but the rank.

For special cases (e.g. two 2x2 matrices - just
fix a/b so that the determinant vanishes) this
is easy, but can you give a general approach?

--
Hauke Reddmann <:-EX8 fc3a501@xxxxxxxxxxxxxx
His-Ala-Sec-Lys-Glu Arg-Glu-Asp-Asp-Met-Ala-Asn-Asn

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