The NAG Fortran Library
The largest collection of reliable and supported numerical algorithms commercially available
Produced by experts for use in a variety of applications, the NAG Fortran Library has a global reputation for its excellence and, with over 1,700 fully documented and tested routines, is the largest collection of mathematical and statistical algorithms available.
Now at its 24th major release, the NAG Library contains algorithms which are powerful, reliable, flexible and ready for use from a wide range of operating systems, languages, environments and packages including Excel, Java, MATLAB®, .NET/C# and many more.
Note: For multicore systems there are many benefits in using the NAG Library for SMP and Multicore that includes identical algorithms tuned to make best use of the characteristics of multicore processors.
The key numerical and statistical capabilities of the Fortran Library are shown below. To learn more about the latest routines at Mark 24 follow this link. A complete list of the contents of the Library is available here.
- Optimization, both Local and Global
- Linear, quadratic, integer and nonlinear programming and least squares problems
- Ordinary and partial differential equations, and mesh generation
- Solution of dense, banded and sparse linear equations and eigenvalue problems
- Solution of linear and nonlinear least squares problems
- Curve and surface fitting and interpolation
- Special functions
- Numerical integration and integral equations
- Roots of nonlinear equations (including polynomials)
- Option Pricing Formulae
- Wavelet Transforms
- Random number generation
- Simple calculations on statistical data
- Correlation and regression analysis
- Multivariate methods
- Analysis of variance and contingency table analysis
- Time series analysis
- Nonparametric statistics
The software in the library is accompanied by acclaimed online documentation giving you the detailed information you need to carry out your work quickly and effectively.
To ensure that we meet your existing and future requirements, the library is regularly updated with new and enhanced algorithms for use in evolving business areas. If you have suggestions for new routines please contact us.
When you subscribe to our dedicated Customer Support Service, not only will you automatically receive any update that is produced, but you will have access via the NAG Response Centre to our experts, who are there to assist you with your technical queries or difficulties.
The validity of each component is tested on each of the machine ranges for which the product is available. Only when an implementation satisfies our stringent accuracy requirements is it released. As a result, you can rely on the proven accuracy and reliability of the components to give you the right answers.
The complete NAG Fortran Library Manual, Mark 24 can be viewed on-line in the following formats:
- HTML: The full manual available as HTML (using HTML5 features such as MathML and SVG in suitable browsers);
- PDF: the same manual as above, consisting of many PDF files, may be browsed using PDF bookmarks or via the HTML table of contents pages;
- Single file PDF: the manual as a single PDF file;
- ZIP file: The archive as a ZIP file (152 MB);
- Windows html help: Windows html help version as a single file;
(Note: due to windows security restrictions the help file may not be read directly from the internet. Save a copy to your local disk, and then read the local copy. Also depending on the Windows version installed you may need to unblock files copied from the internet before they may be used (right click on the help file and select properties then select the "unblock" button).
Advice on viewing and navigating the first three formats can be found in the Online Documentation help document. You are strongly advised to read this document if you wish to try the HTML format.
The two single file formats are more compact than the formats using one file per routine, but of course are a larger download if you only need to view the documentation for a few routines.
The Library is organized into Chapters - each being documented with its own Introduction and Contents list followed by a comprehensive document for each function detailing its purpose, description, list of parameters and possible error exits. Example programs and results are also supplied. All examples are available on-line to facilitate their use as templates for the users' calling programs.
The error bulletin contains a list of errors or other problems which are known to exist in the NAG Fortran Library, along with suggested workarounds where possible.
A full list of routines withdrawn from past marks of the Library has been provided with pointers to the recommended replacement routine.
Support documentation for the installation and use of each implementation of the NAG Fortran Library is available.
The following table provides a simple mechanism by which you can determine the most appropriate NAG Fortran Library implementation for your needs. The table is organized by grouping implementations firstly by operating system and secondly by compiler; you simply select the combination appropriate to the system that you use. The most important information that you can derive from this is the NAG product code which is located in the rightmost column of each record and is a 10 character string beginning FL.
|DLL (Windows API)||32 bit||FLDLL244M|
|Intel Fortran||32 bit||FLW3224DC|
|Intel Fortran||64 bit||FLW6I24DC|
|Intel Fortran||64 bit||FLL6I24DC|
|Intel Fortran||32 bit||FLLUX23DC|
|GNU Fortran||64 bit||FLL6A23DF|
|GNU Fortran||32 bit||FLL3A22DF|
|GNU Fortran||64 bit (ILP64)||FLL6A23DH|
|NAG Fortran||64 bit||FLL6A23D9|
|NAG Fortran||32 bit||FLL3A23D9|
|PGI f90||64 bit||FLL6A22DP|
|IBM xlf||64 bit||FLIL622DA|
Mac OS X
|Intel Fortran||64 bit||FLMI623DC|
|NAG Fortran||64 bit||FLMI622D9|
|IBM xlf||64 bit||FLAI623DA|
|IBM xlf||32 bit||FLAI321DA|
|NAG Fortran||32 bit||FLAI321D9|
|Sun f95||32 bit||FLSOL22DC|
|Sun f95||64 bit||FLSO622DC|
|Sun f95||64 bit||FLSA622DC|