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|1 Introduction||Introduction to Arm Performance Libraries Version 18.1.0|
|2 General Information|
|3 BLAS: Basic Linear Algebra Subprograms||The Basic Linear Algebra Subprograms|
|4 LAPACK: Linear Algebra Package||LAPACK|
|5 Fast Fourier Transforms (FFTs)||Fast Fourier Transforms|
|Routine Index||Index of Routines|
The Arm Performance Libraries are a set of numerical routines tuned specifically for Arm processors. The routines, which are available via both FORTRAN and C interfaces, include:
- BLAS - Basic Linear Algebra Subprograms (including XBLAS, the extended precision BLAS);
- LAPACK - A comprehensive package of higher level linear algebra routines;
- FFT - a set of Fast Fourier Transform routines for real and complex data;
The BLAS and LAPACK routines provide a portable and standard set of interfaces for common numerical linear algebra operations that allow code containing calls to these routines to be readily ported across platforms. Full documentation for the BLAS and LAPACK are available online. This manual will, therefore, be restricted to providing brief descriptions of the BLAS and LAPACK and providing links to their documentation and other materials (see section The BLAS and see section LAPACK).
The FFT is an implementation of the Discrete Fourier Transform (DFT) that makes use of symmetries in the definition to reduce the number of operations required from O(n*n) to O(n*log n) when the sequence length, , is the product of small prime factors; in particular, when n is a power of 2. Despite the popularity and widespread use of FFT algorithms, the definition of the DFT is not sufficiently precise to prescribe either the forward and backward directions (these are sometimes interchanged), or the scaling factor associated with the forward and backward transforms (the combined forward and backward transforms may only reproduce the original sequence by following a prescribed scaling). See Fast Fourier Transforms.
General Information provides details on:
- how to link a user program to Arm Performance Libraries;
- FORTRAN and C interfaces to Arm Performance Libraries routines;
- how to obtain the Arm Performance Libraries version and build information;
- how to access the Arm Performance Libraries documentation.