{ "_id": "6a1f2287b401979e734208c5", "Package": "FixedPoint", "Type": "Package", "Title": "Algorithms for Finding Fixed Point Vectors of Functions", "Version": "0.6.3", "Author": "Stuart Baumann & Margaryta Klymak", "Maintainer": "Stuart Baumann ", "Description": "For functions that take and return vectors (or scalars),\nthis package provides 8 algorithms for finding fixed point\nvectors (vectors for which the inputs and outputs to the\nfunction are the same vector). These algorithms include\nAnderson (1965) acceleration ,\nepsilon extrapolation methods (Wynn 1962 )\nand minimal polynomial methods (Cabay and Jackson 1976\n).", "License": "MIT + file LICENSE", "VignetteBuilder": "knitr", "RoxygenNote": "7.2.1", "Encoding": "UTF-8", "NeedsCompilation": "no", "Packaged": { "Date": "2026-05-16 07:13:28 UTC", "User": "root" }, "Repository": "https://s-baumann.r-universe.dev", "Date/Publication": "2022-12-19 13:10:02 UTC", "RemoteUrl": "https://github.com/cran/FixedPoint", "RemoteRef": "HEAD", "RemoteSha": "f6a7130a99b48d69456d68f02ff2befc58f165d6", "MD5sum": "4685843dd9d4c92d6ca9dab01097f8d6", "_user": "s-baumann", "_type": "src", "_file": "FixedPoint_0.6.3.tar.gz", "_fileid": "2427ef7d220b8797ca83a16eea0aab33ccab4808e0edc3fedd2b18a01ce826ae", "_filesize": 995207, "_sha256": "2427ef7d220b8797ca83a16eea0aab33ccab4808e0edc3fedd2b18a01ce826ae", "_created": "2026-05-16T07:13:28.000Z", "_published": "2026-06-02T18:35:51.269Z", "_distro": "noble", "_jobs": [ 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"0.4", "date": "2018-03-30" }, { "version": "0.5", "date": "2018-06-05" }, { "version": "0.6", "date": "2019-03-10" }, { "version": "0.6.1", "date": "2019-03-12" }, { "version": "0.6.2", "date": "2021-09-13" }, { "version": "0.6.3", "date": "2022-12-19" } ], "_exports": [ "ChangePerIterate", "ConvergenceFig", "EpsilonExtrapolation", "FixedPoint", "FixedPointNewInput", "PolynomialExtrapolation", "PutTogetherIteratesWithoutJumps" ], "_help": [ { "page": "ChangePerIterate", "title": "ChangePerIterate A function for plotting the change in each vector per iterate.", "topics": [ "ChangePerIterate" ] }, { "page": "ConvergenceFig", "title": "A function for plotting the convergence change over a series of iterates.", "topics": [ "ConvergenceFig" ] }, { "page": "EpsilonExtrapolation", "title": "EpsilonExtrapolation This function takes a matrix with previous iterates and extrapolates the limit of the sequence.", "topics": [ "EpsilonExtrapolation" ] }, { "page": "EpsilonExtrapolationVectorOfInverses", "title": "EpsilonExtrapolationVectorOfInverses This is a helper function for EpsilonExtrapolation", "topics": [ "EpsilonExtrapolationVectorOfInverses" ] }, { "page": "FixedPoint", "title": "A function for finding the fixed point of a contraction mapping", "topics": [ "FixedPoint" ] }, { "page": "FixedPointNewInput", "title": "FixedPointNewInput This function takes the previous inputs and outputs from the FixedPoint function and determines what vector to try next in seeking a fixed point.", "topics": [ "FixedPointNewInput" ] }, { "page": "PolynomialExtrapolation", "title": "PolynomialExtrapolation This function performs Minimal Polynomial extrapolation (MPE) or Reduced Rank Extrapolation (RRE) given a matrix of previous iterates of the function.", "topics": [ "PolynomialExtrapolation" ] }, { "page": "PutTogetherIteratesWithoutJumps", "title": "PutTogetherIteratesWithoutJumps This function takes the previous inputs and outputs and assembles a matrix with both excluding jumps.", "topics": [ "PutTogetherIteratesWithoutJumps" ] } ], "_readme": "https://github.com/cran/FixedPoint/raw/HEAD/README.md", "_rundeps": [ "MASS" ], "_vignettes": [ { "source": "FixedPoint.Rmd", "filename": "FixedPoint.html", "title": "FixedPoint: A suite of acceleration algorithms with applications", "author": "Stuart Baumann & Margaryta Klymak", "engine": "knitr::rmarkdown", "headings": [ "1 Fixed point acceleration", "2 Acceleration algorithms", "2.1 Newton acceleration", "2.2 Aitken acceleration", "2.3 Epsilon algorithms", "2.4 Minimal polynomial algorithms", "2.5 Anderson acceleration", "3. Using the FixedPoint package", "3.1 Basic examples of using FixedPoint", "The Babylonian method for finding square roots.", "Vectorised functions", "3.2 Easily changing algorithm", "3.3 Algorithm monitoring", "3.4 Graceful error handling", "3.5 Convergence by constant increments", "4. Applications of fixed point acceleration", "4.1 Gas diffusion", "4.2 Finding equilibrium prices in a pure exchange economy", "4.3 The training of a perceptron classifier", "4.4 Valuation of a perpetual American put option with a compulsory rebuy provision", "4.5 A consumption smoothing problem", "Using parallelisation with the Anderson method", "5. 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