Some Special Matrices of Real Elements and Their Properties
Xiquan Liang ; Fuguo Ge ; Xiaopeng Yue
Formalized Mathematics, Tome 14 (2006), p. 129-134 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:266958
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     author = {Xiquan Liang and Fuguo Ge and Xiaopeng Yue},
     title = {Some Special Matrices of Real Elements and Their Properties},
     journal = {Formalized Mathematics},
     volume = {14},
     year = {2006},
     pages = {129-134},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0016-x}
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Xiquan Liang; Fuguo Ge; Xiaopeng Yue. Some Special Matrices of Real Elements and Their Properties. Formalized Mathematics, Tome 14 (2006) pp. 129-134. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-006-0016-x/

[1] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.

[2] Czesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990.

[3] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.

[4] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.

[5] Katarzyna Jankowska. Matrices. Abelian group of matrices. Formalized Mathematics, 2(4):475-480, 1991.

[6] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.

[7] Yatsuka Nakamura, Nobuyuki Tamura, and Wenpai Chang. A theory of matrices of real elements. Formalized Mathematics, 14(1):21-28, 2006.

[8] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.

[9] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.

[10] Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990.

[11] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.

[12] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.