Duplication and elimination matrices
Summary
In mathematics, especially in linear algebra and matrix theory, the duplication matrix and the elimination matrix are linear transformations used for transforming half-vectorizations of matrices into vectorizations or (respectively) vice versa.
Originally created by Michael Kinyon
9/24/2006, 4:03:54 PM
Modified
9/22/2025, 6:16:17 AM
Recent revisions
[[Wikipedia:OABOT|Open access bot]]: url-access=subscription updated in citation with #oabot.
Cleaned up 2 ISBNs using [[toolforge:anticompositetools/hyphenator]] #hyphenator
Moving [[:Category:Matrices]] to [[:Category:Matrices (mathematics)]] per [[Wikipedia:Categories for discussion/Speedy]]
/* Elimination matrix */ e_j(j) should be outside of for loop regarding i
Add C++ code snippets for duplication matrix and elimination matrix
/* Elimination matrix */ Add a constructive definition of the elimination matrix
/* Duplication matrix */ add mathrm for math operators
Undoing edits by Hellacioussatyr ([[User talk:Hellacioussatyr|talk]]) because the user is everywhere, making tiny edits and converting Latex into other templates.
/* Elimination matrix */ Inline math formatting simplification
/* Duplication matrix */ Inline math formatting simplification
/* Duplication matrix */ Separated variable and operator
Remove italics for operator names
Added disambiguation link
/* Elimination matrix */
/* Duplication matrix */ small correction to definition of Tij to have ones for i,j and j,i
/* Duplication matrix */ In constructing the duplication matrix the summation needs to be over
/* Elimination matrix */
/* Duplication matrix */
/* References */[[User:JCW-CleanerBot#Logic|task]], replaced: SIAM Journal on Algebraic Discrete Methods → SIAM Journal on Algebraic and Discrete Methods
Alter: journal. | You can [[WP:UCB|use this tool]] yourself. [[WP:DBUG|Report bugs here]].
