Some Special Matrices of Real Elements and Their Properties

Xiquan Liang; Fuguo Ge; Xiaopeng Yue

Formalized Mathematics (2006)

  • Volume: 14, Issue: 4, page 129-134
  • ISSN: 1426-2630

Abstract

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This article describes definitions of positive matrix, negative matrix, nonpositive matrix, nonnegative matrix, nonzero matrix, module matrix of real elements and their main properties, and we also give the basic inequalities in matrices of real elements.

How to cite

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Xiquan Liang, Fuguo Ge, and Xiaopeng Yue. "Some Special Matrices of Real Elements and Their Properties." Formalized Mathematics 14.4 (2006): 129-134. <http://eudml.org/doc/266958>.

@article{XiquanLiang2006,
abstract = {This article describes definitions of positive matrix, negative matrix, nonpositive matrix, nonnegative matrix, nonzero matrix, module matrix of real elements and their main properties, and we also give the basic inequalities in matrices of real elements.},
author = {Xiquan Liang, Fuguo Ge, Xiaopeng Yue},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {129-134},
title = {Some Special Matrices of Real Elements and Their Properties},
url = {http://eudml.org/doc/266958},
volume = {14},
year = {2006},
}

TY - JOUR
AU - Xiquan Liang
AU - Fuguo Ge
AU - Xiaopeng Yue
TI - Some Special Matrices of Real Elements and Their Properties
JO - Formalized Mathematics
PY - 2006
VL - 14
IS - 4
SP - 129
EP - 134
AB - This article describes definitions of positive matrix, negative matrix, nonpositive matrix, nonnegative matrix, nonzero matrix, module matrix of real elements and their main properties, and we also give the basic inequalities in matrices of real elements.
LA - eng
UR - http://eudml.org/doc/266958
ER -

References

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  1. [1] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. 
  2. [2] Czesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990. 
  3. [3] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. 
  4. [4] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990. 
  5. [5] Katarzyna Jankowska. Matrices. Abelian group of matrices. Formalized Mathematics, 2(4):475-480, 1991. 
  6. [6] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990. 
  7. [7] Yatsuka Nakamura, Nobuyuki Tamura, and Wenpai Chang. A theory of matrices of real elements. Formalized Mathematics, 14(1):21-28, 2006. 
  8. [8] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics. 
  9. [9] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990. 
  10. [10] Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990. 
  11. [11] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. 
  12. [12] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 

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