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.
• 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.
• inv - Inverse of matrix.
• svd - Singular value decomposition.
• pca - Principal component analysis of raw data.
• pinv - Moore-Penrose pseudoinverse of matrix.
• det/detSymmetric - General/symmetric matrix determinant.
• eigSymmetric - Eigenvalues and eigenvectors of symmetric matrix.
• Qr decomposition: qrDecomp with solve method
• Cholesky: choleskyDecomp with solve method
• LU decomposition: luDecomp with solve 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

• mir-algorithm
• mir-lapack
• mir-blas
• lapack
• cblas

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

About Kaleidic Associates

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