38 search results - page 1 / 8 » Computing the Permanent of (Some) Complex Matrices |
ISAAC
2007
Springer
14 years 5 months ago
2007
Springer
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
CC
2002
Springer
13 years 10 months ago
2002
Springer
We show that for several natural classes of "structured" matrices, including symmetric, circulant, Hankel and Toeplitz matrices, approximating the permanent modulo a prim...
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...
CJTCS
1999
13 years 10 months ago
1999
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...
STOC
2010
ACM
14 years 8 months ago
2010
ACM
In this paper we study the computational complexity of computing the noncommutative determinant. We first consider the arithmetic circuit complexity of computing the noncommutativ...