Date: June 3 2020
Summary: Summary of how Householder notation works
Keywords: ##zettel #linear #algebra #matrix #vector #scalar #greek #householder #notation #archive
Householder notation is very simple:
Scalars are denoted as lowercase Greek letters: . , , ...
Vectors are represented as lowercase English letters: , , , ...
Matrices are denoted as uppercase English letters: , , , ...
Vector transposes are denoted with the apostrophe ( ' )
Vector or matrix multiplication uses the star character ( * )
The inner product can be expressed as (i.e. a transposed vector times a vector yields a scalar)
The outer product can be expressed similarly as (i.e. a vector times a transposed vector yields a matrix)
Quadratic/bilinear forms can be written as (i.e. a transposed vector times a matrix times a vector yields a scalar)
Zelko, Jacob. Householder Notation. https://jacobzelko.com/06032020153234-householder-notation. June 3 2020.