Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

Use the graphical method to move from vertex to vertex in the feasible region and identify the optimal solution. Implement the Simplex Method, showing the sequence of tableaus and the basic solutions.

Abstract: This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants. Linear algebra is a ...

Abstract: The sparsity-regularized linear inverse problem has been widely used in many fields, such as remote sensing imaging, image processing and analysis, seismic deconvolution, compressed sensing, ...

This article is concerned with the computational aspect of l₁ regularization problems with a certain class of piecewise linear loss functions. The problem of computing the l₁ regularization path for a ...

Operations Research, Vol. 21, No. 1, Mathematical Programming and Its Applications (Jan. - Feb., 1973), pp. 156-161 (6 pages) This paper gives rules that enable the transformation of a 0-1 polynomial ...