We identify and analyse obstructions to factorisation of integer matrices into products NTN or N2 with rational entries. The arise as quadratic forms coefficients raise the question discrete range such forms. They are obtained by considering matrix decompositions over a superalgebra. further obtain formula for determinant square in terms adjugates these decompositions, well identifying co-Latin...

This paper aims to construct a product form evolution design method integrating the TRIZ contradiction matrix, which is used eliminate between users’ psychological expectations and engineering requirements, thus simplifying process. We first obtain needs of users during whole process using through behavior analysis then perform an ergonomic simulation properties product. On this basis, we matri...

Hull form optimisation involves challenges such as large design spaces, numerous variables, and high nonlinearity. Therefore, that only use global approximate models alone cannot yield desirable results. An information matrix-based method is proposed for dynamically embedded local (IM-DEAM) in this paper, which uses the Gaussian-function matrix to extract one or more subspaces additional sampli...