# Keyword : Matrix operations including inversion

 F01ADF Inverse of real symmetric positive definite matrix F01BLF Pseudo-inverse and rank of real $m$ by $n$ matrix $\left(m\ge n\right)$ F01BRF $LU$ factorization of real sparse matrix F01BSF $LU$ factorization of real sparse matrix with known sparsity pattern F01BUF $ULD{L}^{\mathrm{T}}{U}^{\mathrm{T}}$ factorization of real symmetric positive definite band matrix F01BVF Reduction to standard form, generalized real symmetric-definite banded eigenproblem F01CKF Matrix multiplication F01CRF Matrix transposition F01CTF Sum or difference of two real matrices, optional scaling and transposition F01CWF Sum or difference of two complex matrices, optional scaling and transposition F01ECF Real matrix exponential F01EDF Real symmetric matrix exponential F01EFF Function of a real symmetric matrix F01EJF Real matrix logarithm F01EKF Exponential, sine, cosine, sinh or cosh of a real matrix (Schur–Parlett algorithm) F01ELF Function of a real matrix (using numerical differentiation) F01EMF Function of a real matrix (using user-supplied derivatives) F01FCF Complex matrix exponential F01FDF Complex Hermitian matrix exponential F01FFF Function of a complex Hermitian matrix F01FJF Complex matrix logarithm F01FKF Exponential, sine, cosine, sinh or cosh of a complex matrix (Schur–Parlett algorithm) F01FLF Function of a complex matrix (using numerical differentiation) F01FMF Function of a complex matrix (using user-supplied derivatives) F01GAF Action of a real matrix exponential on a real matrix F01GBF Action of a real matrix exponential on a real matrix (reverse communication) F01HAF Action of a complex matrix exponential on a complex matrix F01HBF Action of a complex matrix exponential on a complex matrix (reverse communication) F01JAF Condition number for the exponential, logarithm, sine, cosine, sinh or cosh of a real matrix F01JBF Condition number for a function of a real matrix (using numerical differentiation) F01JCF Condition number for a function of a real matrix (using user-supplied derivatives) F01KAF Condition number for the exponential, logarithm, sine, cosine, sinh or cosh of a complex matrix F01KBF Condition number for a function of a complex matrix (using numerical differentiation) F01KCF Condition number for a function of a complex matrix (using user-supplied derivatives) F01LEF $LU$ factorization of real tridiagonal matrix F01LHF $LU$ factorization of real almost block diagonal matrix F01MCF $LD{L}^{\mathrm{T}}$ factorization of real symmetric positive definite variable-bandwidth matrix F01QGF $RQ$ factorization of real $m$ by $n$ upper trapezoidal matrix $\left(m\le n\right)$ F01QJF $RQ$ factorization of real $m$ by $n$ matrix $\left(m\le n\right)$ F01QKF Operations with orthogonal matrices, form rows of $Q$, after $RQ$ factorization by F01QJF F01RGF $RQ$ factorization of complex $m$ by $n$ upper trapezoidal matrix $\left(m\le n\right)$ F01RJF $RQ$ factorization of complex $m$ by $n$ matrix $\left(m\le n\right)$ F01RKF Operations with unitary matrices, form rows of $Q$, after $RQ$ factorization by F01RJF F01VAF Copies a real triangular matrix from full format to packed format scheme F01VBF Copies a complex triangular matrix from full format to packed format scheme F01VCF Copies a real triangular matrix from packed format to full format scheme F01VDF Copies a complex triangular matrix from packed format to full format scheme F01VEF Copies a real triangular matrix from full format to Rectangular Full Packed format scheme F01VFF Copies a complex triangular matrix from full format to Rectangular Full Packed format scheme F01VGF Copies a real triangular matrix from Rectangular Full Packed format to full format scheme F01VHF Copies a complex triangular matrix from Rectangular Full Packed format to full format scheme F01VJF Copies a real triangular matrix from packed format to Rectangular Full Packed format scheme F01VKF Copies a complex triangular matrix from packed format to Rectangular Full Packed format scheme F01VLF Copies a real triangular matrix from Rectangular Full Packed format to packed format scheme F01VMF Copies a complex triangular matrix from Rectangular Full Packed format to packed format scheme F01ZAF Convert real matrix between packed triangular and square storage schemes F01ZBF Convert complex matrix between packed triangular and square storage schemes F01ZCF Convert real matrix between packed banded and rectangular storage schemes F01ZDF Convert complex matrix between packed banded and rectangular storage schemes

© The Numerical Algorithms Group Ltd, Oxford UK. 2013