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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