Matrices and Simplex Algorithms : A Textbook in Mathematical Programming and Its Associated Mathematical Topics

I Matrices, Block-Equations, and Determinants -- I / Equations-Systems and Tableaux -- II / Matrix Notation -- III / Block-Equations and Matrix-Inversion -- IV / Some Operators and Their Use -- V / Determinants and Rank -- II Graphs and Linear Programming -- VI / Vectors and Coordinate-Spaces -- VII / Some Basic Linear Programming Concepts -- VIII / Outline of the Simplex Algorithm -- IX / The Search for a Feasible Solution -- X / Mixed Systems, Upper and Lower Bounds -- XI / Duality -- XII / Linear Programming on the Computer -- XIII / Parametric Variation of the L.P. Problem -- III Some General Mathematical Programming Notions and Related Matrix Algebra -- XIV / Topology of Feasible Space Areas and its Relation to Definiteness -- XV / Optimality Conditions -- IV Quadratic Programming -- XVI / Quadratic Programming with Linear Restrictions -- XVII / Parametric Methods in Quadratic Programming -- XVIII / General Quadratic Programming -- V Integer Programming -- XIX / Integer Programming and Some of its Applications -- XX / Branching Methods -- XXI / The Use of Cuts -- References.