39 search results - page 1 / 8 » Monotone complexity and the rank of matrices |
ECCC
2002
14 years 6 months ago
2002
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
CSR
2007
Springer
15 years 1 months ago
2007
Springer
We revisit a well studied linear algebraic problem, computing the rank and determinant of matrices, in order to obtain completeness results for small complexity classes. In partic...
COLT
2005
Springer
15 years 11 days ago
2005
Springer
We study the rank, trace-norm and max-norm as complexity measures of matrices, focusing on the problem of fitting a matrix with matrices having low complexity. We present generali...
FCS
2006
14 years 8 months ago
2006
The displacement structure is extended to a Kronecker matrix W Z. A new class of Kronecker-like matrices with the displacement rank r, r < n will be formulated and presented. ...
ISSAC
1997
Springer
14 years 11 months ago
1997
Springer
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...