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ScaLAPACK is a library of high-performance linear algebra routines for parallel distributed-memory machines that features functionality similar to LAPACK (solvers for dense and banded linear systems, least-squares problems, eigenvalue problems, and singular-value problem). Scilab is advanced numerical analysis package similar to MATLAB or Octave.
He developed MATLAB's initial linear algebra programming in 1967 with his one-time thesis advisor, George Forsythe. [21] This was followed by Fortran code for linear equations in 1971. [21] Before version 1.0, MATLAB "was not a programming language; it was a simple interactive matrix calculator. There were no programs, no toolboxes, no graphics.
The Parallel Linear Algebra for Scalable Multi-core Architectures (PLASMA) project is a modern replacement of LAPACK for multi-core architectures. PLASMA is a software framework for development of asynchronous operations and features out of order scheduling with a runtime scheduler called QUARK that may be used for any code that expresses its ...
This glossary of linear algebra is a list of definitions and terms relevant to the field of linear algebra, the branch of mathematics concerned with linear equations and their representations as vector spaces. For a glossary related to the generalization of vector spaces through modules, see glossary of module theory
This definition implies that any element of is related to the zero vector; more precisely, all the vectors in get mapped into the equivalence class of the zero vector. The equivalence class – or, in this case, the coset – of x {\displaystyle x} is defined as
The tablet also gives an example where one side of the square is 30, and the resulting diagonal is 42 25 35 or 42.4263888. Computational mathematics is the study of the interaction between mathematics and calculations done by a computer.
Linear operators refer to linear maps whose domain and range are the same space, for example from to . [ 1 ] [ 2 ] [ a ] Such operators often preserve properties, such as continuity . For example, differentiation and indefinite integration are linear operators; operators that are built from them are called differential operators , integral ...
Dynare++ is a standalone package solving higher order Taylor approximations to equilibria of non-linear stochastic models with rational expectations. vmmlib [44] is a C++ linear algebra library that supports 3-way tensors, emphasizing computation and manipulation of several tensor decompositions. Spartns [45] is a Sparse Tensor framework for ...