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Everything about Commutation matrix
Matrix in linear algebra
In mathematics, especially in linear algebra and matrix theory, the commutation matrix is used for transforming the vectorized form of a matrix into the vectorized form of its transpose. Specifically, the commutation matrix K(m,n) is the nm × mn permutation matrix which, for any m × n matrix A, transforms vec(A) into vec(AT):K(m,n) vec(A) = vec(AT). Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Commutation matrixA 5-minute orientation
- Skim a recent paper: A Novel Three-Step Commutation Method for Direct Matrix Converter Free From Inrush Current and Voltage ErrorInfluential work since 2022
- Pick up a classic book: Algebras, rings and modulesThe most-reprinted book on the subject
- Read the landmark paper: The Commutation Matrix: Some Properties and ApplicationsCited 404 times
- Go sideways: Kronecker productA closely related topic
- Go sideways: Vectorization (mathematics)A closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The Commutation Matrix: Some Properties and Applications
Matrix converter commutation strategies with and without explicit input voltage sign measurement
Enhancement of Matrix Converter Output Waveform Quality Using Minimized Commutation Times
Gate drive level intelligence and current sensing for matrix converter current commutation
A Single-Phase Buck–Boost Matrix Converter With Only Six Switches and Without Commutation Problem
Matrix Converters: A Vector-Controlled MCT Matrix Converter Induction Motor Drive with Minimized Commutation Times and Enhanced Waveform Quality
Implementation of Voltage-Based Commutation in Space-Vector-Modulated Matrix Converter
A Single-Stage Matrix-Based Isolated Three-Phase AC–DC Converter With Novel Current Commutation
🆕 Influential since 2022
A Novel Three-Step Commutation Method for Direct Matrix Converter Free From Inrush Current and Voltage Error
A Novel Discontinuous PWM Method With Hybrid Three-Step Commutation to Reduce Common-Mode Voltage for Direct Matrix Converter
A Simple Commutation Method and a Cost-Effective Clamping Circuit for Three-to-Five-Phase Indirect-Matrix Converters
A New Four-Step Commutation Method for Indirect Matrix Converter With Active-Voltage Vectors Being Applied
ON THE COMMUTATION MATRIX
đź“š Books worth reading
Algebras, rings and modulesMichiel Hazewinkel, Nadiya Gubareni · 2004
Theory of generalized inverses over commutative ringsK. P. S. Bhaskara Rao · 2002
AlgèbreN. Bourbaki · 2007- 📕AlgebraSerge Lang · 2012
Advanced modern algebraJoseph J. Rotman · 2010
History of Abstract AlgebraIsrael Kleiner · 2007
R-linear endomorphisms of (R) [subscript n] preserving invariantsBernard R. McDonald · 1983
Theory of Generalized Inverses Over Commutative RingsK. P. S. BhaskaraRao · 2002
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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