advanpix.com
Multiprecision Computing Toolbox for MATLABProgramming with arbitrary precision in MATLAB.
http://www.advanpix.com/
Programming with arbitrary precision in MATLAB.
http://www.advanpix.com/
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Pavlo Holoborodko
Takashi●●●●●●●1-3-406
Yok●●●ama , Kanagawa, 221-0833
Japan
View this contact
Pavlo Holoborodko
Takashi●●●●●●●1-3-406
Yok●●●ama , Kanagawa, 221-0833
Japan
View this contact
Pavlo Holoborodko
Takashi●●●●●●●1-3-406
Yok●●●ama , Kanagawa, 221-0833
Japan
View this contact
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Multiprecision Computing Toolbox for MATLAB | advanpix.com Reviews
https://advanpix.com
Programming with arbitrary precision in MATLAB.
advanpix.com
Version History
http://www.advanpix.com/documentation/version-history
Multiprecision Computing Toolbox for MATLAB. August 11, 2016 – 4.0.1.11324. Improvements to linear least-squares solver. Instead of SVD, now we use rank-revealing QR decomposition (RRQR), heavily optimized for parallel execution on multi-core CPUs:. Seconds. % Now - 4.0.1.11324. All cases are covered – real, complex, quadruple and arbitrary precision. Speed-up ratio scales with matrix size and number of CPU cores. July 6, 2016 – 4.0.0.11272. New functions –. LongE; x = nextabove. Closest value to the pole.
Function Reference
http://www.advanpix.com/documentation/function-reference
Multiprecision Computing Toolbox for MATLAB. The Multiprecision Computing Toolbox extends MATLAB with a wide set of mathematical functions capable to calculate results with arbitrary precision. The toolbox supplies multiprecision equivalents to the majority of the standard MATLAB routines, and also adds a few of its own. Every function in toolbox is implemented in multiple different modifications in order to support all special cases and features of MATLAB’s standard routines. Y = ifft(X,n). In addition,...
Computing Eigenvalues in Extended Precision
http://www.advanpix.com/2011/10/12/multiprecision-computation-eigenvalues-eigenvectors
Multiprecision Computing Toolbox for MATLAB. Computing Eigenvalues in Extended Precision. October 12, 2011. Eigenvalues and eigenvectors play important role in many real-world applications, including control systems modeling, partial differential equations, data mining and clusterization, chemistry, vibration analysis, to name a few examples. The main practical difficulty is that eigenproblem might be ill-conditioned and hard to compute even when matrix itself is well-conditioned. At the moment the only ...
Version 3.8.0 release notes
http://www.advanpix.com/2015/02/12/version-3-8-0-release-notes
Multiprecision Computing Toolbox for MATLAB. Version 3.8.0 release notes. February 12, 2015. Over last several months we have been focusing on making toolbox fast in processing the large matrices. Although many updates were released along the way (see full changelog. Here we outline only the most important changes:. High-level dense linear algebra routines have been updated to use modern performance-oriented algorithms:. Divide & Conquer for SVD [. Multi-shift QR for nonsymmetric eigenproblems [. Maple w...
Direct Solvers for Sparse Matrices
http://www.advanpix.com/2013/09/05/direct-solvers-for-sparse-matrices
Multiprecision Computing Toolbox for MATLAB. Direct Solvers for Sparse Matrices. September 5, 2013. Newest version of toolbox includes sparse linear system solver – function. Solver analyzes input matrix and automatically uses the most suitable decomposition:. Factorization is applied if input matrix is symmetrical/hermitian and has real positive diagonal. Factorization is applied if. Failed or directly if matrix is obviously non-SPD. Algorithm is based on ideas from SuperLU. Start MATLAB. Add toolbo...
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QuickLaTeX
http://www.holoborodko.com/pavel/quicklatex
Applied mathematics and beyond. Cubature formulas for the unit disk. Stable Newton-Cotes Formulas (Open Type). Noise Robust Gradient Operators. Sites Powered by QuickLaTeX. August 3, 2015. 383 Image size reduction using OptiPNG, minimized memory usage. July 4, 2015. 382 New server, compatibility with WP-LaTeX. December 24, 2014. 381 Switched to non-blocking connections to server. November 15, 2012. 380 Added rendering to SVG format. September 22, 2011. 379 Fixed semi-critical bug in parsing. July 25, 2011.
Links
http://www.denys-dutykh.com/links.php
My other sites on the web:. Http:/ dutykh.github.io/. Public repository: https:/ github.com/dutykh/. Institutions for which I've been working in the past:. Université de Savoie. Institute of Computational Technologies. ICT) ( Siberian Branch. Of RAS, Novosibirsk, Russia). Tsunami wave modelling group. Site created by IWORKS.
Numerical Integration
http://www.holoborodko.com/pavel/numerical-methods/numerical-integration
Applied mathematics and beyond. Cubature formulas for the unit disk. Stable Newton-Cotes Formulas (Open Type). Noise Robust Gradient Operators. One of the most widely used methods of numerical integration is Gauss-Legendre quadrature. It posses very attractive property of to be exact on polynomials of degree up to. The algorithm consists in approximation of initial definite integral by the sum of weighted integrand values sampled at special points called abscissas:. Only 4-6 correct digits) for limited.
MPIR - Home
http://www.mpir.org/index.html
Multiple Precision Integers and Rationals. Development list and repository. MPIR is an open source multiprecision integer library. Links with hardware and software vendors. Development of parallel algorithms. Support out-of-the-box for Linux, Apple, Sun and Microsoft Windows. Full interface compatibility with GMP. Sage is a Computer Algebra System which uses Python/Cython and which ships with MPIR. An interface to the Eiffel programming language, written by Chris Saunders. MPIR 2.7.2 is released! MPIR 2&...
MPFR C++
http://www.holoborodko.com/pavel/mpfr
Applied mathematics and beyond. Cubature formulas for the unit disk. Stable Newton-Cotes Formulas (Open Type). Noise Robust Gradient Operators. Software using MPFR C. July 24, 2015. Fixes for MSVC and new GCC. April 2, 2015. New version 3.6.2 has been released – lots of improvements & bug fixes. August 24, 2014. Added copysign and signbit functions. July 15, 2014. Improved support for 64-bit integers. June 12, 2014. Fixed improper std: setprecision(0) handling, warnings. June 3, 2014. May 27, 2014. New f...
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Multiprecision Computing Toolbox for MATLAB
Multiprecision Computing Toolbox for MATLAB. Multiprecision Computing Toolbox for MATLAB. The Multiprecision Computing Toolbox is the MATLAB extension for computing with arbitrary precision. The toolbox equips MATLAB with a new multiple precision floating-point numeric type and extensive set of mathematical functions that are capable of computing with arbitrary precision. The multiprecision numbers and matrices can be seamlessly used in place of the built-in. Matrix analysis functions and factorizations.
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