These projects offer a similar operation to LAPACK, but which has a key interface differing from that of LAPACK:
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LAPACK ("Linear Algebra Bundle") is a regular program library for numerical linear algebra. It provides routines for fixing devices of linear equations and linear the very least squares, eigenvalue problems, and singular value decomposition. What's more, it features routines to apply the connected matrix factorizations like LU, QR, Cholesky and Schur decomposition.
g., when the code DI is provided, the subroutine expects a vector of size n containing the elements on the diagonal, whilst if the code GE is provided, the subroutine expects an n×n array that contains the entries in the matrix.
The Parallel Linear Algebra for Scalable Multi-Main Architectures (PLASMA) project is a modern substitution of LAPACK for multi-core architectures. PLASMA can be a software program framework for advancement of asynchronous operations and features out of purchase scheduling that has a runtime scheduler known as QUARK That could be employed for any code that expresses its dependencies that has a directed acyclic graph.[twelve]
As with BLAS, LAPACK is typically forked or rewritten to provide far better functionality on particular systems. A number of the implementations are:
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Given that LAPACK normally calls underlying BLAS routines to perform the majority of its computations, simply just linking to an even better-tuned BLAS implementation is usually ample to considerably make improvements to overall performance. Subsequently, LAPACK is not really reimplemented as typically as BLAS is. Comparable jobs[edit]
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A header library for linear algebra. Incorporates a BLAS in addition to a partial LAPACK implementation for compatibility.
LAPACK was created since the successor for the linear equations and linear least-squares routines of LINPACK and the eigenvalue routines of EISPACK. LINPACK, penned from the 1970s and nineteen eighties, was intended to run within the then-contemporary vector desktops with shared memory. LAPACK, in lapak 77 contrast, was intended to properly exploit the caches on fashionable cache-primarily based architectures plus the instruction-level parallelism of contemporary superscalar processors,[two]: "Elements that Have an impact on Efficiency" and therefore can operate orders of magnitude a lot quicker than LINPACK on this kind of devices, presented a very well-tuned BLAS implementation.