Jordan Matrix Decomposition

Karol Pąk

Formalized Mathematics (2008)

  • Volume: 16, Issue: 4, page 297-303
  • ISSN: 1426-2630

Abstract

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In this paper I present the Jordan Matrix Decomposition Theorem which states that an arbitrary square matrix M over an algebraically closed field can be decomposed into the form [...] where S is an invertible matrix and J is a matrix in a Jordan canonical form, i.e. a special type of block diagonal matrix in which each block consists of Jordan blocks (see [13]).MML identifier: MATRIXJ2, version: 7.9.01 4.101.1015

How to cite

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Karol Pąk. "Jordan Matrix Decomposition." Formalized Mathematics 16.4 (2008): 297-303. <http://eudml.org/doc/267499>.

@article{KarolPąk2008,
abstract = {In this paper I present the Jordan Matrix Decomposition Theorem which states that an arbitrary square matrix M over an algebraically closed field can be decomposed into the form [...] where S is an invertible matrix and J is a matrix in a Jordan canonical form, i.e. a special type of block diagonal matrix in which each block consists of Jordan blocks (see [13]).MML identifier: MATRIXJ2, version: 7.9.01 4.101.1015},
author = {Karol Pąk},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {297-303},
title = {Jordan Matrix Decomposition},
url = {http://eudml.org/doc/267499},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Karol Pąk
TI - Jordan Matrix Decomposition
JO - Formalized Mathematics
PY - 2008
VL - 16
IS - 4
SP - 297
EP - 303
AB - In this paper I present the Jordan Matrix Decomposition Theorem which states that an arbitrary square matrix M over an algebraically closed field can be decomposed into the form [...] where S is an invertible matrix and J is a matrix in a Jordan canonical form, i.e. a special type of block diagonal matrix in which each block consists of Jordan blocks (see [13]).MML identifier: MATRIXJ2, version: 7.9.01 4.101.1015
LA - eng
UR - http://eudml.org/doc/267499
ER -

References

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