39 search results - page 1 / 8 » Monotone complexity and the rank of matrices |
ECCC
2002
13 years 10 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
14 years 5 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
14 years 4 months 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 11 days 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 3 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...