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Ranks of dense alternating sign matrices and their sign patterns
In this paper, an explicit formula for the ranks of dense alternating sign matrices is obtained. The minimum rank and the maximum rank of the sign pattern of a dense alternating sign matrix are determined....
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Combinatorial aspects of generalized complementary basic matrices
This paper extends some properties of the generalized complementary basic matrices, in particular, in a combinatorial direction. These include inheritance (such as for Alternating Sign Matrices), spectral, and sign pattern ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
G-matrices, J-orthogonal Matrices, and their Sign Patterns
Connections are made between the G-matrices and the J-orthogonal matrices. An investigation into the sign patterns of the J-orthogonal matrices is initiated. Some examples and open questions are provided....
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
G-matrices
We define a new type of matrix called G-matrix as a real nonsingular matrix A for which there exist nonsingular diagonal matrices D1 and D2 such that (A-1)T=D1AD2. Many special matrices are G-matrices including (generalized...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Sign patterns of J-orthogonal matrices
-matrix. In addition, the 3 × 3 sign patterns of the J-orthogonal matrices which have and Rozloznik. A number of further generalnresults on the sign patterns of the J-orthogonal matrices are proved. Proper...
Applied mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On the invariance of the sign pattern of matrix eigenvectors under perturbation
BA - Obecná matematika
- 1994 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Some Inheritance Properties for Complementary Basic Matrices
Complementary basic matrices which depend on a set of matrices of second order are studied. The results concentrate on the problem which properties of the second order matrices are preserved in the corresponding complementary basic matrices....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Old and New about Positive Definite Matrices
The first part of the paper recalls and enlarges some results which appeared in the author?s paper published 50 years ago, characterizing the relationship between the diagonal entries of mutually inverse positive definite matrices. In the second part...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Dense alternating sign matrices and extensions
In this paper, some connections of dense alternating sign matrices with total unimodularity, combined matrices, and generalized complementary basic matrices are explored....
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A Note on Sign-Nonsingular Matrices
We use previous results on complementary basic matrices to introduce a rather wide class of sign-nonsingular matrices.
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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