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27 results for tags numerical x
  • Emacs – Nick Higham
    Emacs-related articles on Nick Higham's blog.
    See also the interesting "What Is" series of articles, mostly on numerical linear algebra.
    Thu Nov 17 16:03:45 2022 - permalink -
    - https://nhigham.com/category/emacs/
    algorithm blog emacs mathematics numerical org-mode
  • Polynomial Roots Finder - SwissMicros Calculator Forum
    Uses Bairstow's algorithm, code for dm42 and a PDF document. A matlab version is mentioned.
    Mon Nov 14 11:28:36 2022 - permalink -
    - https://forum.swissmicros.com/viewtopic.php?f=19&t=2536
    algorithm Hewlett numerical Packard polynomial TODO
  • mpsolve - Multiprecision Polynomial SOLVEr
    Software that aims to provide an easy to use (hopefully) universal blackbox for solving polynomials and secular equations.

    Among its features you can find:
    - Arbitrary precision approximation.
    - Guaranteed inclusion radii for the results.
    - Exploiting of polynomial structures: it can take advantage of sparsity as well as coefficients in a particular domain (i.e. integers or rationals).

    It can be specialized for specific classes of polynomials. As an example, see the roots of the Mandelbrot polynomial of degree 2.097.151 computed in about 10 days on a dual Xeon server.

    If you use MPSolve in your research, please cite it as follows:
    Bini, Dario A., Fiorentino, Giuseppe, Design, analysis, and implementation of a multiprecision polynomial rootfinder. Numerical Algorithms 23.2-3 (2000): 127-173.
    Bini, Dario A., and Robol, Leonardo. Solving secular and polynomial equations: A multiprecision algorithm. Journal of Computational and Applied Mathematics 272 (2014): 276-292.
    Found via https://en.m.wikipedia.org/wiki/Aberth_method and https://en.m.wikipedia.org/wiki/MPSolve
    See also the GitHub repository http://github.com/robol/MPSolve.git A simpler implementation of the Ehrich-Aberth-method can be found in https://github.com/robol/ea-roots
    Sat Aug 20 09:41:01 2022 - permalink -
    - https://numpi.dm.unipi.it/software/mpsolve
    algorithm C FOSS GPL numerical software
  • free42 Random Math Stuff
    Polynomial root finder for {dm,hp}42s using Laguerre's method. Found on https://forum.swissmicros.com/viewtopic.php?p=20091#p20091
    The Emacs tools for {dm,hp}42 code on https://richmit.github.io/hp42/hp42s-meta.html and the
    Lisp library http://www.mitchr.me/SS/mjrcalc/ look interesting too.
    Mon Jun 13 15:52:20 2022 - permalink -
    - https://richmit.github.io/hp42/math.html#org670c9bb
    algorithm calculator common-lisp emacs Hewlett Laguerre lisp numerical org-mode Packard root-finding tool
  • Polynomial Rootfinder repost
    The HP 48 object listed below in ->ASC form is a high-performance polynomial root finder. Those of you who remember the HP 71B Math Pac will recognize this as the same as the PROOT command from that Pac; it is in fact the same assembly-language code, given an RPL front end to operate in the HP 48.
    Found on https://www.hpmuseum.org/forum/thread-10967-post-160700.html#pid160700
    See also http://www.jeffcalc.hp41.eu/emu71/mathrom.html#src for the uncommented source code of PROOT and other functions of the HP71B math pack.
    Sat May 28 19:20:00 2022 - permalink -
    - https://groups.google.com/g/comp.sys.hp48/c/JD9LSLeIYyE?hl=en&pli=1#f5b79053a9650902
    algorithm Hewlett Laguerre mathematics numerical Packard root-finding
  • mpmath - Python library for arbitrary-precision floating-point arithmetic
    mpmath is a free (BSD licensed) Python library for real and complex floating-point arithmetic with arbitrary precision. It has been developed by Fredrik Johansson since 2007, with help from many contributors.
    Tue May 17 15:57:41 2022 - permalink -
    - https://mpmath.org/
    algorithm BSD FOSS mathematics numerical Python
  • Theory and Modelling Resources Cookbook
    Starlink Cookbook, 2003
    Central Laboratory of the Research Councils
    Particle Physics & Astronomy Research Council
    Somewhat dated guide to numerical computing on Unix. Found via https://en.wikipedia.org/wiki/Numerical_Recipes
    Mon Mar 21 17:00:24 2022 - permalink -
    - https://www.astro.gla.ac.uk/users/norman/star/sc13/sc13.htx/index.html
    C Fortran numerical programming Unix
  • Laguerre's method for polynomial roots
    Implementations in Basic and C.
    Mon Mar 14 12:38:38 2022 - permalink -
    - https://www.hpmuseum.org/forum/thread-18120.html
    algorithm C Laguerre mathematics numerical software
  • Numerical Recipes Books On-Line
    Not only older issues of the Numerical Recipes books, but also classics such as
    Handbook Abramowitz and Stegun, Handbook of Mathematical Functions (10th corrected printing, 1972)

    Bateman, Erdelyi et al. (Bateman Manuscript Project)
    Higher Transcendental Functions (vols. 1, 2, and 3)

    and
    Encyclopaedia Britannica the great 11th Edition (1911)

    Found via https://www.hpmuseum.org/forum/thread-16251-post-142741.html#pid142741
    Mon Feb 8 12:15:48 2021 - permalink -
    - http://numerical.recipes/oldverswitcher.html
    algorithm book mathematics numerical programming
  • jj's useful and ugly FFT page
    Collection of FFT and related algorithm implementation in various programming languages.
    Mon Feb 25 12:32:33 2019 - permalink -
    - https://www.jjj.de/fft/fftpage.html#introrem
    algorithm C FFT Fortran numerical software
  • Using Optimization to Extract Roots of Real Coefficient Polynomials
    Matlab implementation of the Durand-Kerner algorithm to compute the roots of a polynomial.
    Wed Jul 11 18:24:42 2018 - permalink -
    - http://www.hpmuseum.org/forum/thread-11032-post-100258.html#pid100258
    algorithm numerical software
  • Consulting in mathematics, statistics, and scientific computing
    Apart from the blog, there are technical notes https://www.johndcook.com/blog/writing/ and on-line calculators https://www.johndcook.com/blog/online-calculators/
    As an example, see Camp-Paulson normal approximation to the binomial distribution https://www.johndcook.com/blog/camp_paulson/
    Mon Jul 9 11:55:42 2018 - permalink -
    - https://www.johndcook.com/blog/
    algorithm mathematics numerical programming software
  • DSpace@MIT: Abstraction in Numerical Methods
    This is just an example, the site contains a large number of documents written at MIT.
    Tue Jan 9 14:47:50 2018 - permalink -
    - https://dspace.mit.edu/handle/1721.1/6060
    algorithm numerical Scheme TODO
  • DebateTranscription - DebateTranscription.pdf
    Transcription of “The Great Debate”:
    John Gustafson vs. William Kahan on Unum Arithmetic
    Held July 12, 2016
    Mon Feb 6 13:54:06 2017 - permalink -
    - http://www.johngustafson.net/pdfs/DebateTranscription.pdf
    arithmetic computer Kahan numerical TODO unum
  • Dr. John L. Gustafson: Publications
    Written by one of the foremost experts in high-performance computing and the inventor of Gustafson's Law, The End of Error: Unum Computing explains a new approach to computer arithmetic: the universal number (unum). The unum encompasses all IEEE floating-point formats as well as fixed-point and exact integer arithmetic. This new number type obtains more accurate answers than floating-point arithmetic yet uses fewer bits in many cases, saving memory, bandwidth, energy, and power.
    Tue Aug 2 17:30:36 2016 - permalink -
    - http://www.johngustafson.net/unums.html
    algorithm arithmetic computer numerical
  • Inverse functions with fixed-points :: nklein software
    Interesting algorithm to invert functions, implemented in Common Lisp.
    Tue Jul 23 10:43:52 2013 - permalink -
    - http://nklein.com/inverse-functions-with-fixed-points
    algorithm common-lisp numerical
  • AbInitio - Free computational software
    MIT Photonic Bands (MPB) electromagnetic eigenmode solver Meep finite-difference time-domain simulations Harminv extraction of complex frequencies and amplitudes from time series libctl Scheme/Guile-based scripting of scientific code (used as the interface for MPB and Meep). h5utils visualization of HDF5 data files NLopt nonlinear optimization library implementing many different optimization algorithms Cubature code for adaptive multidimensional integration of vector-valued integrands via the Genz-Malik algorithm. Faddeeva_w code to compute the complex error function (Faddeeva function).
    Wed Oct 24 23:56:12 2012 - permalink -
    - http://ab-initio.mit.edu/wiki/index.php/Main_Page
    algorithm FOSS mathematics numerical Scheme
  • Antik
    Antik provides a foundation for scientific and engineering computation in Common Lisp. It is designed not only to facilitate numerical computations, but to permit the use of numerical computation libraries and the interchange of data and procedures, whether foreign (non-lisp) or Lisp libraries. It is named after the Antikythera mechanism, one of the oldest examples of a scientific computer known. It is available via Quicklisp.
    Wed Aug 29 15:31:12 2012 - permalink -
    - http://www.common-lisp.net/project/antik/
    common-lisp lisp mathematics numerical
  • Numercial Analysis & Applications
    Windows applications or source code for various numerical algorithms, with emphasis on polynomial root finding. Some algorithms can be used via a web interface.
    Thu Dec 22 23:40:57 2011 - permalink -
    - http://www.hvks.com/index.html
    algorithm Laguerre numerical root-finding software web
  • Some badly conditioned matrices to test the accuracy of determinant calculations.
    Fri Oct 7 12:42:32 2011 - permalink -
    - http://www.hpmuseum.org/cgi-sys/cgiwrap/hpmuseum/archv015.cgi?read=72635
    algorithm calculator Hewlett mathematics numerical Packard
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