In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions...

In mathematics, the method of steepest descent or saddle-point method is an extension of Laplace's method for approximating an integral, where one deforms...

Saddle Point (53°1′S 73°29′E / 53.017°S 73.483°E / -53.017; 73.483) is a rocky point separating Corinthian Bay and Mechanics Bay on the north coast...

The saddle between two hills or mountains is the region surrounding the saddle point, the lowest point on the line tracing the drainage divide (the col)...

sufficient condition for a saddle point problem to have a unique solution that depends continuously on the input data. Saddle point problems arise in the discretization...

least one saddle point. The historical meaning is a synonym for a gable roof particularly a dual-pitched roof on a tower, also called a pack-saddle roof....

Stirling's Formula" is considered one of the earliest examples of the saddle-point method. In 1990, Philippe Flajolet and Andrew Odlyzko developed the theory...

for its tail. The point ⁠ ( 0 , 0 , 0 ) {\displaystyle (0,0,0)} ⁠ on the monkey saddle corresponds to a degenerate critical point of the function ⁠ z...

multipliers. The Karush–Kuhn–Tucker theorem is sometimes referred to as the saddle-point theorem. The KKT conditions were originally named after Harold W. Kuhn...

include: Homoclinic bifurcation in which a limit cycle collides with a saddle point. Homoclinic bifurcations can occur supercritically or subcritically....

In the mathematical area of bifurcation theory a saddle-node bifurcation, tangential bifurcation or fold bifurcation is a local bifurcation in which two...

multivariable calculus used to determine if a critical point of a function is a local minimum, maximum or saddle point. Suppose that f(x, y) is a differentiable real...

critical point where the Hessian is semidefinite but not definite may be a local extremum or a saddle point). However, more can be said from the point of view...

a stationary point that is not a local extremum is called a saddle point. An example of a stationary point of inflection is the point (0, 0) on the graph...

sufficient, conditions for a local maximum, because of the possibility of a saddle point. For use of these conditions to solve for a maximum, the function z must...

United States. The Saddle, a mountain in Scotland Saddle point, a point on a surface whose neighborhood resembles a saddle Monkey saddle, a mathematical...

the other values of the index, a non-degenerate critical point is a saddle point, that is a point which is a maximum in some directions and a minimum in...

(mathematics) Fermat's theorem Derivative test Fixed point (mathematics) Saddle point Chiang, Alpha C. (1984). Fundamental Methods of Mathematical Economics...

points of a function and determine whether each point is a local maximum, a local minimum, or a saddle point. Derivative tests can also give information about...

example of a degenerate critical point is the origin of the monkey saddle. The index of a non-degenerate critical point p {\displaystyle p} of f {\displaystyle...

solution corresponding to the original constrained optimization is always a saddle point of the Lagrangian function, which can be identified among the stationary...

Minimax (sometimes Minmax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, combinatorial game theory, statistics...

A saddle is a supportive structure for a rider of an animal, fastened to an animal's back by a girth. The most common type is equestrian. However, specialized...

A col, also called saddle point or neutral point, is in meteorology, the point of intersection of a trough and a ridge in the pressure pattern of a weather...

it might be desirable to optimize to a transition state, that is, a saddle point on the potential energy surface. Additionally, certain coordinates (such...

like it should mean 'saddle point'—but it has become standard." Several properties hold about a neighborhood of a hyperbolic point, notably A stable manifold...

(0)} is very close to a saddle point. The body would linger near the saddle point, then rapidly move to the other saddle point, near ω ( T / 2 ) {\displaystyle...

Geometrically, a sphaleron is a saddle point of the electroweak potential (in infinite-dimensional field space). This saddle point rests at the top of a barrier...

existence of a saddle point. The theorem is unusual in that there are many other theorems regarding the existence of extrema, but few regarding saddle points...

the mass of the counter-Earth. The Sun–Earth L3, however, is a weak saddle point and exponentially unstable with time constant of roughly 150 years. Moreover...