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keywords: algebra
title: Zero measure
description: Compute the average zero measures and total zero measure for a list of matrices.

keywords: algebra
title: Standardised last principal angle
description: Standardised last principal angle between the subspaces generated by the columns of A and B.

keywords: algebra
title: Calculate eigentraits from phenotype matrix
description: This function performs the singular value decomposition (SVD) on the phenotype matrix after first removing individuals with missing data. The eigentraits are the left singular vectors of the decomposition. This function optionally mean centers and normalizes the phenotype matrix before performing the SVD.

keywords: algebra
title: Projection and Orthogonalisation
description: Functions to project one matrix onto another, or to ortghogonalise it against the other.

keywords: algebra
title: Linear Equation Solving for Sparse Matrices
description: chol performs a Cholesky decomposition of a symmetric positive definite sparse matrix x of class matrix.csr. backsolve performs a triangular back-fitting to compute the solutions of a system of linear equations in one step. backsolve and forwardsolve can also split the functionality of backsolve into two steps. solve combines chol and backsolve and will compute the inverse of a matrix if the right-hand-side is missing.

keywords: algebra
title: Sparse Matrix Class
description: This group of functions evaluates and coerces changes in class structure.

keywords: algebra
title: Basic Linear Algebra for Sparse Matrices
description: Basic linear algebra operations for sparse matrices of class matrix.csr.

keywords: algebra
title: Make the upper triangular matrix del from a parameter vector
description: make.del takes a parameter vector of length \(k*(k+1)/2\) and returns the upper triangular \(k \times k\) matrix \(\Delta\). make.del is a private function intended for use inside mlest.