On the Permanent of a Matrix

Ewa Romanowicz; Adam Grabowski

Formalized Mathematics (2006)

  • Volume: 14, Issue: 1, page 13-20
  • ISSN: 1426-2630

Abstract

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We introduce the notion of a permanent [13] of a square matrix. It is a notion somewhat related to a determinant, so we follow closely the approach and theorems already introduced in the Mizar Mathematical Library for the determinant. Unfortunately, the formalization of the latter notion is at its early stage, so we had to prove many very elementary auxiliary facts.

How to cite

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Ewa Romanowicz, and Adam Grabowski. "On the Permanent of a Matrix." Formalized Mathematics 14.1 (2006): 13-20. <http://eudml.org/doc/267470>.

@article{EwaRomanowicz2006,
abstract = {We introduce the notion of a permanent [13] of a square matrix. It is a notion somewhat related to a determinant, so we follow closely the approach and theorems already introduced in the Mizar Mathematical Library for the determinant. Unfortunately, the formalization of the latter notion is at its early stage, so we had to prove many very elementary auxiliary facts.},
author = {Ewa Romanowicz, Adam Grabowski},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {13-20},
title = {On the Permanent of a Matrix},
url = {http://eudml.org/doc/267470},
volume = {14},
year = {2006},
}

TY - JOUR
AU - Ewa Romanowicz
AU - Adam Grabowski
TI - On the Permanent of a Matrix
JO - Formalized Mathematics
PY - 2006
VL - 14
IS - 1
SP - 13
EP - 20
AB - We introduce the notion of a permanent [13] of a square matrix. It is a notion somewhat related to a determinant, so we follow closely the approach and theorems already introduced in the Mizar Mathematical Library for the determinant. Unfortunately, the formalization of the latter notion is at its early stage, so we had to prove many very elementary auxiliary facts.
LA - eng
UR - http://eudml.org/doc/267470
ER -

References

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