Linear Algebra System

A Linear Algebra System is a mathematical system (that applies a linear algebra algorithm to solve a linear algebra task.

• Context:
  • It can (often) include a: Matrix Inversion System, ...
• Example(s):
  • numpy.linalg [1].
  • …
• Counter-Example(s):
  • Numerical Analysis System.
  • Statistical Analysis System.
• See: Library (Computing).

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References

2015

• (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/comparison_of_linear_algebra_libraries Retrieved:2015-2-1.
  • The following tables provide a comparison of linear algebra software libraries, either specialized or general purpose libraries with significant linear algebra coverage. ...
  • … Matrix types (special types like bidiagonal/tridiagonal are not listed):
    • Real - general (nonsymmetric) real.
    • Complex - general (nonsymmetric) complex.
    • SPD - symmetric positive definite (real).
    • HPD - Hermitian positive definite (complex).
    • SY - symmetric (real).
    • HE - Hermitian (complex).
    • BND - band.
  • Operations:
    • TF - triangular factorizations (LU, Cholesky)
    • OF - orthogonal factorizations (QR, QL, generalized factorizations)
    • EVD - eigenproblems.
    • SVD - singular value decomposition.
    • GEVD - generalized EVD.
    • GSVD - generalized SVD

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