Lubeck

High level linear algebra library for Dlang

Required system libraries

See wiki: Link with CBLAS & LAPACK.

API

mtimes - General matrix-matrix, row-matrix, matrix-column, and row-column multiplications.

- General matrix-matrix, row-matrix, matrix-column, and row-column multiplications. mldivide - Solve systems of linear equations AX = B for X. Computes minimum-norm solution to a linear least squares problem if A is not a square matrix.

- Solve systems of linear equations AX = B for X. Computes minimum-norm solution to a linear least squares problem if A is not a square matrix. inv - Inverse of matrix.

- Inverse of matrix. svd - Singular value decomposition.

- Singular value decomposition. pca - Principal component analysis of raw data.

- Principal component analysis of raw data. pinv - Moore-Penrose pseudoinverse of matrix.

- Moore-Penrose pseudoinverse of matrix. det / detSymmetric - General/symmetric matrix determinant.

/ - General/symmetric matrix determinant. eigSymmetric - Eigenvalues and eigenvectors of symmetric matrix.

- Eigenvalues and eigenvectors of symmetric matrix. Qr decomposition: qrDecomp with solve method

with method Cholesky: choleskyDecomp with solve method

with method LU decomposition: luDecomp with solve method

with method LDL decomposition: ldlDecomp with solve method

Example

/+dub.sdl: dependency "lubeck" version="~>0.1" libs "lapack" "blas" +/ // or libs "openblas" import std.stdio; import mir.ndslice: magic, repeat, as, slice; import kaleidic.lubeck: mtimes; void main() { auto n = 5; // Magic Square auto matrix = n.magic.as!double.slice; // [1 1 1 1 1] auto vec = 1.repeat(n).as!double.slice; // Uses CBLAS for multiplication matrix.mtimes(vec).writeln; matrix.mtimes(matrix).writeln; }

Related packages

This work has been sponsored by Symmetry Investments and Kaleidic Associates.

About Kaleidic Associates

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