KnowraFixed-point iterationLinked fromLinked fromThe 10 pages that link to Fixed-point iteration, each with the reason it gives.All 10Broader topic 1Related 6Narrower topic 2Compared with 1Newton's methodRelated: Newton's update can be rewritten as a fixed-point iteration.Fixed pointRelated: It searches for a fixed point by repeatedly feeding each output back as the next input.Bisection methodCompared with: It can solve equations through reformulation, but does not inherently maintain a sign-changing interval.ConvergenceRelated: Convergence conditions determine whether successive approximations reach the desired fixed point.Root-finding algorithmRelated: Many root-finding schemes can be recast as iterations toward a fixed point.Iterative methodBroader topic: It expresses iteration directly as repeated application of one function.Monotone sequenceRelated: Monotone iterates and bounds can prove convergence to a fixed point.Secant methodNarrower topic: The secant update can be written as repeated application of an iteration map.Gauss–Seidel methodNarrower topic: Rewriting the linear system as an iteration places Gauss–Seidel within this general framework.Kleene fixed-point theoremRelated: Kleene iteration is an order-theoretic instance, with a guaranteed least limit under its hypotheses.