The NAG Fortran Library
Description
The largest collection of numerical algorithms commercially available
Produced by experts for use in a variety of applications, the NAG Fortran Library remains at the core of NAG’s product portfolio. It 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 23rd 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.
Library Contents
The key numerical and statistical capabilities of the Fortran Library are shown below. To learn more about the new routines at Mark 23 follow this link. A complete list of the contents of the Library is available here.
Numerical facilities
- 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
Statistical facilities
- 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
Online Documentation
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.
Regular Updates
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.
Expert Support
If 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.
Quality Assurance
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.
Documentation
Supporting Documentation
Please note: the documentation is presented mainly in Adobe Portable Document Format (PDF). To view and print this a suitable Adobe Acrobat Reader is required. These can be downloaded free of charge from the Adobe Web Site at http://www.adobe.com/.
The NAG Fortran Library Manual
The complete NAG Fortran Library Manual, Mark 23 can be viewed on-line in the following formats:
- XHTML+MathML: a version of the manual using XHTML and MathML;
- PDF+HTML: a full PDF manual which can be browsed using HTML index files;
- PDF: the same manual as above, consisting of many PDF files, may be browsed using PDF bookmarks and links rather than HTML index files;
- Single file PDF: the manual as a single PDF file (38.9MB);
- Windows html help: Windows html help version as a single file (13MB);
(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 XHTML+MathML 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 total file size for the PDF+HTML tables of contents is 229MB. The total size for XHTML and examples files is 84MB.
The Library is organised 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.
Error Bulletin for Mark 23 of the NAG Fortran Library
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.
The NAG Fortran Library Manual - Mark 22 and prior
The previous marks of the NAG Fortran Library Manual are still available: Mark 22, Mark 21 and Mark 20.
Withdrawn Routines
A full list of routines withdrawn from past marks of the Library has been provided with pointers to the recommended replacement routine.
Installer's Notes and Users' Notes
Support documentation for the installation and use of each implementation of the NAG Fortran Library is available.
Product Availability
| Platform | Compiler | Release | Product |
| x86-32 Windows | Intel Fortran | Mark 23 | FLW3223DC |
| x86-64 Windows | Intel Fortran | Mark 23 | FLW6I23DC |
| Windows DLL 32 bit | Intel Fortran | Mark 23 | FLDLL234M |
| x86-32 Linux | Intel Fortran | Mark 23 | FLLUX23DC |
| x86-64 Linux64 | Intel Fortran | Mark 23 | FLL6I23DC |
| Apple Intel Mac64 | Intel Fortran | Mark 23 | FLMI623DC |
| x86-64 Linux64 | GNU Fortran | Mark 23 | FLL6A23DF |
| IBM Power 5 Linux 64 | xlf | Mark 22 | FLIL622DA |
| IBM Power4+ AIX64 | xlf | Mark 22 | FLAI622DA |
| x86-64 Linux64 | GNU Fortran | Mark 22 | FLL6A22DF |
| x86-64 Linux64 (64 Int.) | GNU Fortran | Mark 22 | FLL6A22DH |
| x86-64 Linux64 | pgf90 v9.0-1 | Mark 22 | FLL6A22DP |
| x86-64 Linux64 | NAG Fortran | Mark 22 | FLL6A22D9 |
| x86-32 Linux ACML | NAG Fortran | Mark 22 | FLL3A22D9 |
| x86-32 Linux ACML | GNU gfortran | Mark 22 | FLL3A22DF |
| x86-32 Linux | Intel Fortran | Mark 22 | FLLUX22DC |
| Apple Intel Mac64 | NAG Fortran | Mark 22 | FLMI622D9 |
| Apple Intel Mac64 | Intel Fortran | Mark 22 | FLMI622DC |
| X86-64 Solaris | Sun f95 v8.2 | Mark 22 | FLSA622DC |
| Sun SPARC Solaris 64 | Sun f95 Vers | Mark 22 | FLSO622DC |
| IBM Power4+ AIX | NAG Fortran | Mark 21 | FLAI321D9 |
| IBM Power4+ AIX | xlf | Mark 21 | FLAI321DA |
| IBM Power4+ AIX | xlf | Mark 21 | FLAI321DB |
| Fujitsu | Fujitsu Fortran | Mark 21 | FLFSV21DB |
| Fujitsu VPP5000 | UXP/V Fortran | Mark 21 | FLFUJ21DB |
| HP PA-RISC 1.1 | HP f90 | Mark 21 | FLH9721DA |
| HP PA-RISC 2.0 | HP f90 | Mark 21 | FLHP821DA |
| Itanium Linux64 | Intel Fortran | Mark 21 | FLL6421DC |
| x86-32 Linux | g77 | Mark 21 | FLL6A21DG |
| x86-32 Linux | pgf90 | Mark 21 | FLL6A21DQ |
| x86-64 Linux64 | Pathscale EK | Mark 21 | FLL6A21DS |
| x86-32 Linux | NAG Fortran | Mark 21 | FLLUX21D9 |
| x86-32 Linux | g77 | Mark 21 | FLLUX21DG |
| x86-32 Linux | Lahey f95 | Mark 21 | FLUX21DL |
| x86-32 Linux ACML | g77 | Mark 21 | FLL3A21DG |
| x86-32 Linux ACML | pgf77 | Mark 21 | FLL3A21DP |
| Apple Intel Mac | NAG f95 | Mark 21 | FLMIN21D9 |
| Apple Intel Mac | Intel Fortran | Mark 21 | FLMIN21DC |
| NECSX-8R SUPER-UX | Fortran90/SX | Mark 21 | FLN8R21DC |
| NECSX-8R SUPER-UX | Fortran90/SX | Mark 21 | FLN8R21DI |
| x86-32 Windows | CVF | Mark 21 | FLW3221DD |
| x86-32 Windows | Lahey/Fujitsu | Mark 21 | FLW3221DL |
| x86-32 Windows | Salford | Mark 20 | FLW3220DS |
| Itanium Windows64 | Intel Fortran | Mark 20 | FLW6420DB |
Need to know more about the NAG Fortran Library? Click on one of the following links or contact us to discuss your needs.