Abstract : When a matrix is represented as a product of 'elementary' matrices, the matrix, its transpose, its inverse and inverse transpose are readily available for vector multiplication. By an… Expand

In spite of a host of uncoordinated, and largely incompatible, developments in the programming field, a number of standard forms and principles are beginning to emerge.Expand

This paper studies the reference point approach of Wierzbicki for multiobjective optimization. The method does not necessarily aim at finding an optimum under any utility function but rather it is… Expand

The development of software for mathematical programming has paralleled the development of basic software and has perhaps the longest history of any application system in the computing field.Expand

Abstract : Modification in various ways of the simplex algorithm for solving linear programming problems and its implications for flexibility and adaptability in a computer code is examined.

In a separate paper by the same author, a set of hypernumbers, called quadriform, were defined in terms of 4 x 4 real matrices which represent a kind of generalization of 2 x 2 matrix representation… Expand