reduced quadratic
11Mathematical optimization — For other uses, see Optimization (disambiguation). The maximum of a paraboloid (red dot) In mathematics, computational science, or management science, mathematical optimization (alternatively, optimization or mathematical programming) refers to… …
12Newton's method — In numerical analysis, Newton s method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real valued function. The… …
13Optimal projection equations — In control, the Linear Quadratic Gaussian (LQG) control problem is one of the most fundamental optimal control problems. It concerns uncertain linear systems disturbed by additive white Gaussian noise, incomplete state information (i.e. not all… …
14Golden ratio — For the Ace of Base album, see The Golden Ratio (album). Not to be confused with Golden number. The golden section is a line segment divided according to the golden ratio: The total length a + b is to the length of the longer segment a as the… …
15Algebraic-group factorisation algorithm — Algebraic group factorisation algorithms are algorithms for factoring an integer N by working in an algebraic group defined modulo N whose group structure is the direct sum of the reduced groups obtained by performing the equations defining the… …
16Criss-cross algorithm — This article is about an algorithm for mathematical optimization. For the naming of chemicals, see crisscross method. The criss cross algorithm visits all 8 corners of the Klee–Minty cube in the worst case. It visits 3 additional… …
17Jacobi symbol — The Jacobi symbol is a generalization of the Legendre symbol introduced by Jacobi in 1837 [C.G.J.Jacobi Uber die Kreisteilung und ihre Anwendung auf die Zahlentheorie , Bericht Ak. Wiss. Berlin (1837) pp 127 136] . It is of theoretical interest… …
18Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …
19Pole splitting — is a type of frequency compensation used in an electronic amplifier in which a capacitor is introduced between the input and output sides of the amplifier with the intention of moving the pole lowest in frequency (usually an input pole) to lower… …
20Delayed column-generation — is an efficient algorithm for solving larger linear programs. The overarching idea is that many linear programs are too large to consider all the variables explicitly. Since most of the variables will be non basic and assume a value of zero in… …
