Transpose of QR factorization

mbaz · July 10, 2023, 10:52pm

It seems you’re looking at a different Julia branch. Make sure to browse the 1.9-release branch (or v1.9.1 tag):

JuliaLang/julia/blob/v1.9.1/stdlib/LinearAlgebra/src/qr.jl

# This file is a part of Julia. License is MIT: https://julialang.org/license

# QR Factorization
"""
    QR <: Factorization

A QR matrix factorization stored in a packed format, typically obtained from
[`qr`](@ref). If ``A`` is an `m`×`n` matrix, then

```math
A = Q R
```

where ``Q`` is an orthogonal/unitary matrix and ``R`` is upper triangular.
The matrix ``Q`` is stored as a sequence of Householder reflectors ``v_i``
and coefficients ``\\tau_i`` where:

```math
Q = \\prod_{i=1}^{\\min(m,n)} (I - \\tau_i v_i v_i^T).
```

This file has been truncated. show original

Note that you can still use F' to find the adjoint of QR.

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Transpose of QR factorization

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