Science News

Jazzing Up Euclid’s Algorithm

The PSLQ procedure can be regarded as a jazzed-up version of an integer-relation algorithm dating back more than 2,000 years to the Greek geometer Euclid of Alexandria (365–300 B.C.). The Euclidean ...
JSTOR Daily

Integer Relations Among Algebraic Numbers

A vector $m = (m_1,\ldots, m_n) \in \mathbf{Z}^n\backslash\{0\}$ is called an integer relation for the real numbers $\alpha_1,\ldots, \alpha_n$, if $\sum \alpha_im_i ...
JSTOR Daily

Numerical Results on Relations Between Fundamental Constants Using a New Algorithm

This is a preview. Log in through your library . Abstract Let $x = (x_1, x_2,\ldots, x_n)$ be a vector of real numbers. $x$ is said to possess an integer relation if ...
IEEE

A Branch and Bound Algorithm for Transmission Network Expansion Planning Using Nonconvex Mixed-Integer Nonlinear Programming Models

Abstract: The branch and bound (BB) algorithm is widely used to obtain the global solution of mixed-integer linear programming (MILP) problems. On the other hand, when the traditional BB structure is ...
IEEE

Integer Levinson Algorithm for the Inversion of Any Nonsingular Hermitian Toeplitz Matrix

Abstract: This paper presents an integer preserving (IP) version of the Levinson algorithm to solve a normal set of equations for a Hermitian Toeplitz matrix with any singularity profile. The IP ...