Maxima and Minima: Theory and Economic Applications

A₁ adjoint an1 an2 argument b₁ b₂ C₁ Chapter characteristic equation coefficients column complex number constraint defined definition degrees of freedom determinant of order elements equal to zero example exists a solution expression extrema extremum f₁ fact finite following theorem form Q P1 formulate function f function f(x1 ƒ x1 gives homogeneous system Lagrange multipliers least left-hand side linear equations linearly dependent local extremum local maximum log x² man-power matrix maximum minimum multiplied necessary and sufficient necessary condition neighbourhood non-zero number of equations obtain p₁ and P2 p₂ Pareto optimality partial derivatives plane point x1 problem production quadratic form quantities rank n-1 right-hand side roots satisfy simultaneously zero situated solution system square matrix strictly negative strictly positive sufficient condition system of equations system of linear unit circle v₁ variables x₁ x₁ and x2 μ₁ бу