LINALG: Linear algebra package A selection of functions that are useful in the world of linear algebra
This Julia package relies on the Reduce.jl parser generator, Julia docs (stable / latest).
Meta-package ReduceAlgebra.jl, upstream docs (LINALG / pdf), Julia docs (stable / latest)
16.37 LINALG: Linear algebra package
This package provides a selection of functions that are useful in the world of linear algebra.
Author: Matt Rebbeck.
This package provides a selection of functions that are useful in the world of linear algebra. These functions are described alphabetically in subsection 16.37.3 and are labelled 220.127.116.11 to 18.104.22.168. They can be classified into four sections(n.b: the numbers after the dots signify the function label in section 16.37.3).
Contributions to this package have been made by Walter Tietze (ZIB).
Computes the Hessian matrix of
expr with respect to the variables in
This is an n×n matrix where n is the number of variables and the (i,j)th entry is
Computes the Jacobian matrix of
expr_list with respect to
This is a matrix whose (i,j)th entry is
df(expr_list[i],var_list[j]). The matrix is n×m where n is the number of variables and m is the number of expressions.
Computes the square Jordan block matrix
J of dimension
The entries of
J[i,i] = expr for i = 1,...,n,
J[i,i+1] = 1 for i = 1,...,n-1, and all other entries are 0.