These optimization problems can be formulated as semidefinite programs ( SDPs ) using classical sum-of-squares ( SOS ) characterizations of nonnegative polynomials, and solved efficiently via interior-point methods for semidefinite programming.
42.
This work has generated a major research field in economics termed Applied General Equilibrium Analysis and a corresponding area in operations research known as Simplicial Fixed Point Methods ( or Algorithms ).
43.
Newton's method, and its derivatives such as interior point methods, require the Hessian to be inverted, which is typically implemented by solving a system of linear equations and is often quite costly.
44.
These algorithms are known to have fundamentally different characteristics; for example, interior point methods follow a path through the interior of the feasible region while active set methods tend to stay at the boundaries.
45.
This can be solved by the simplex method, which usually works in polynomial time in the problem size but is not guaranteed to, or by interior point methods which are guaranteed to work in polynomial time.
46.
Since a single pin in multi-species plant communities often will hit more than a single species, the sum of the plant cover of the different species may be larger than unity when estimated by the pin-point method.
47.
Every time someone comments about my 4-year-old daughter's superior verbal skills, I always respond that she may be clever but her 2-year-old brother, who still relies on the grunt and point method, will probably make more money.
48.
His work with Arkadi Nemirovski in the 1994 book is the first to point out that interior point method can solve convex optimization problems, and the first to make a systematic study of semidefinite programming ( SDP ).
49.
No one spoke English, but not to worry : Using the smile-and-point method, I ordered chicken steamed in wine and accented with ginger, red chilies, green onions and sesame seeds, and a plate of pickled spinach sprinkled with peanuts.
50.
Modern point and figure charts are drawn with Xs and Os where columns of Xs are rising prices and columns of Os are falling prices, although many traditionalists such as David Fuller and Louise Yamada still use the Xs only point method of plotting.
