Recent research has explored various aspects of complexity theory, including connections between graph theory and matrix spaces, the computation of determinants, and optimization problems.

A new method, called the QZ algorithm, is presented for the solution of the matrix eigenvalue problem Ax = λ Bx with general square matrices A and B. Particular attention is paid to the degeneracies ...

Indeed, to date, no practical algorithm for estimating the permanent of a matrix has been devised. It is an open question whether such an algorithm exists. Another open question is whether there is a ...

An optimized min-sum algorithm for LDPC code is proposed in this paper. In this algorithm, unlike other decoding methods, an optimization factor has been introduced in both check node and bit node ...

A simple matrix formula is given for the observed information matrix when the EM algorithm is applied to categorical data with missing values. The formula requires only the design matrices, a matrix ...