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The Matrix Template Library (MTL) is a linear algebra library for C++ programs. The MTL uses template programming , which considerably reduces the code length. All matrices and vectors are available in all classical numerical formats: float , double , complex<float> or complex<double> .
Hermes Project: C++/Python library for rapid prototyping of space- and space-time adaptive hp-FEM solvers. IML++ is a C++ library for solving linear systems of equations, capable of dealing with dense, sparse, and distributed matrices. IT++ is a C++ library for linear algebra (matrices and vectors), signal processing and communications ...
Several important classes of matrices are subsets of each other. This article lists some important classes of matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries. Matrices have a long history of both study and application, leading to ...
Throughout this article, boldfaced unsubscripted and are used to refer to random vectors, and Roman subscripted and are used to refer to scalar random variables.. If the entries in the column vector = (,, …,) are random variables, each with finite variance and expected value, then the covariance matrix is the matrix whose (,) entry is the covariance [1]: 177 ...
C++ template library; binds to optimized BLAS such as the Intel MKL; Includes matrix decompositions, non-linear solvers, and machine learning tooling Eigen: Benoît Jacob C++ 2008 3.4.0 / 08.2021 Free MPL2: Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers, and related algorithms. Fastor [5]
square matrices with trace 0, with Lie bracket the commutator Yes Yes n 2 −1 so(n) skew-symmetric square real matrices, with Lie bracket the commutator. Yes, except n=4 Yes Exception: so(4) is semi-simple, but not simple. n(n−1)/2 sp(2n,R) real matrices that satisfy JA + A T J = 0 where J is the standard skew-symmetric matrix: Yes Yes n(2n ...
— Fibonacci matrix — Fibonacci Q-matrix — Fourier matrix — Frobenius matrix — Game matrix (same as payoff matrix?) — Gordon matrix — H-matrix — Conference matrix — Dispersion matrix (same as covariance matrix) — Reciprocal matrix - A=(a ij) with a ji =1/a ij. Mentioned by Saaty, TL, Eur J Operation Research 48(1990) 9 ...
The Marchenko–Pastur distribution is important in the theory of random matrices. The bounded quantile-parameterized distributions, which are highly shape-flexible and can be parameterized with data using linear least squares (see Quantile-parameterized distribution#Transformations)