On a matrix function interpolating between determinant and permanent

Generalized matrix functions, determinant and permanent

In this paper, using permutation matrices or symmetric matrices, necessary and sufficient conditions are given for a generalized matrix function to be the determinant or the permanent. We prove that a generalized matrix function is the determinant or the permanent if and only if it preserves the product of symmetric permutation matrices. Also we show that a generalized matrix function is the de...

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Permanent Uncertainty: on the Quantum Evaluation of the Determinant and the Permanent of a Matrix

We investigate the possibility of evaluating permanents and determinants of matrices by quantum computation. All current algorithms for the evaluation of the permanent of a real matrix have exponential time complexity and are known to be in the class P #P. Any method to evaluate or approximate the permanent is thus of fundamental interest to complexity theory. Permanents and determinants of mat...

the relationship between eq, iq and test format: a study on test fairness

the major aim of this study was to investigate the relationship between iq, eq and test format in the light of test fairness considerations. this study took this relationship into account to see if people with different eq and iq performed differently on different test formats. to this end, 90 advanced learners of english form college of ferdowsi university of mashhad were chosen. they were ask...

Determinant versus permanent