Hello Everyone,
is it possible to use Singular to solve inhomogeneous Syzygy equations? Like A v = b, where A is a known matrix and b is a known vector, both polynomial in variables (x1,...,xn). Of course I could use the syz command on the matrix A' =(A|b) and intersect the result of A' v' with the hyperplane v'.(0,...,0,1)=1, however, in the particular problem I am currently studying this is highly inefficient as the kernel of the intersection is huge. So, is there a way to go directly for the inhomogeneous equation?
Hello Everyone,
is it possible to use Singular to solve inhomogeneous Syzygy equations? Like A v = b, where A is a known matrix and b is a known vector, both polynomial in variables (x1,...,xn). Of course I could use the syz command on the matrix A' =(A|b) and intersect the result of A' v' with the hyperplane v'.(0,...,0,1)=1, however, in the particular problem I am currently studying this is highly inefficient as the kernel of the intersection is huge. So, is there a way to go directly for the inhomogeneous equation?
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