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Conjugate gradient, assuming exact arithmetic, converges in at most n steps, where n is the size of the matrix of the system (here n = 2). In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is positive-semidefinite.
An exponential-Golomb code (or just Exp-Golomb code) is a type of universal code. To encode any nonnegative integer x using the exp-Golomb code: Count the bits written, subtract one, and write that number of starting zero bits preceding the previous bit string. The first few values of the code are: 0 ⇒ 1 ⇒ 1. 1 ⇒ 10 ⇒ 010.
Furthermore, expander codes can be both encoded and decoded in time proportional to the block length of the code. Expander codes [ edit ] In coding theory , an expander code is a [ n , n − m ] 2 {\displaystyle [n,n-m]_{2}\,} linear block code whose parity check matrix is the adjacency matrix of a bipartite expander graph .
Method of moments. where is any index, possibly itself. In probability and statistics, the Dirichlet distribution (after Peter Gustav Lejeune Dirichlet ), often denoted , is a family of continuous multivariate probability distributions parameterized by a vector of positive reals. It is a multivariate generalization of the beta distribution, [1 ...
Gradient descent is a method for unconstrained mathematical optimization. It is a first-order iterative algorithm for finding a local minimum of a differentiable multivariate function . The idea is to take repeated steps in the opposite direction of the gradient (or approximate gradient) of the function at the current point, because this is the ...
The method of steepest descent is a method to approximate a complex integral of the form for large , where and are analytic functions of . Because the integrand is analytic, the contour can be deformed into a new contour without changing the integral. In particular, one seeks a new contour on which the imaginary part, denoted , of is constant ...
Curve fitting [1] [2] is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, [3] possibly subject to constraints. [4] [5] Curve fitting can involve either interpolation, [6] [7] where an exact fit to the data is required, or smoothing, [8] [9] in which a "smooth" function is ...
Other integrals. where. (Note that the value of the expression is independent of the value of n, which is why it does not appear in the integral.) where. and Γ (x,y) is the upper incomplete gamma function. when , , and. when , , and.