Iterative Refinement

Let z1,z2,… be a sequence of approximations to a root, or fixed point, ζ.

an iterative refinement is performed until some termination criterion is met

solve them by repeatedly calculating the output from the input locally at each node until the whole system stabilizes, i.e., it reaches a fixpoint

is an iterative algorithm for solving linear equation systems

vector products per iteration step.

The algorithm is iterative and has an order of convergence of d + 1.

so these steps are repeated in cycles, re-adjusting the rows and columns in turn

is an iterative method developed by H. A. van der Vorst

the algorithm can be viewed as using Newton's method to iteratively approximate zeroes of the components of the sum

is an iterative method for finding the roots of a differentiable function

The main idea of the Jenkins-Traub method is to incrementally improve the second factor.

is an iterative vector quantization algorithm to improve a small set of vectors (codebook)

it works by iteratively alternating between sparse coding the input data based on the current dictionary, and updating the atoms in the dictionary to better fit the data

the algorithm can be applied iteratively to obtain

The process is then iterated until it converges.

Since each component of the new iterate depends upon all previously computed components, the updates cannot be done simultaneously as in the Jacobi method

choose a value for that will accelerate the rate of convergence of the iterates to the solution.

is an iterative procedure for approximating a dominant eigenvalue and corresponding eigenvector of a square real matrix

Bisection is a root bracketing procedure for iteratively converging on a solution which is known to lie inside some interval