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Wyszukujesz frazę "matrix" wg kryterium: Temat


Tytuł:
Intervals of certain classes of Z-matrices
Autorzy:
Kannan, M.
Sivakumar, K.
Powiązania:
https://bibliotekanauki.pl/articles/729209.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
interval matrix
M-matrix
N-matrix
N₀-matrix
nonnegativity
Opis:
Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 1; 85-93
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the matrix form of Kronecker lemma
Autorzy:
da Silva, João
Oliveira, António
Powiązania:
https://bibliotekanauki.pl/articles/729968.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
matrix Kronecker lemma
matrix analysis
convergence
Opis:
A matrix generalization of Kronecker's lemma is presented with assumptions that make it possible not only the unboundedness of the condition number considered by Anderson and Moore (1976) but also other sequences of real matrices, not necessarily monotone increasing, symmetric and nonnegative definite. A useful matrix decomposition and a well-known equivalent result about convergent series are used in this generalization.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2009, 29, 2; 233-243
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boolean matrices ... neither Boolean nor matrices
Autorzy:
Ricci, Gabriele
Powiązania:
https://bibliotekanauki.pl/articles/728832.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
universal matrix
functional application
generalized matrix
analytic monoid
Opis:
Boolean matrices, the incidence matrices of a graph, are known not to be the (universal) matrices of a Boolean algebra. Here, we also show that their usual composition cannot make them the matrices of any algebra. Yet, later on, we "show" that it can. This seeming paradox comes from the hidden intrusion of a widespread set-theoretical (mis) definition and notation and denies its harmlessness. A minor modification of this standard definition might fix it.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 1; 141-151
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some remarks on operators preserving partial orders of matrices
Autorzy:
Hauke, Jan
Powiązania:
https://bibliotekanauki.pl/articles/729966.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
star partial ordering
minus partial ordering
löwner partial ordering
sharp partial order
nonnegative definite matrix
Hermitian matrix
EP-matrix
power of a matrix
polynomial of a matrix
Opis:
Stępniak [Linear Algebra Appl. 151 (1991)] considered the problem of equivalence of the Löwner partial order of nonnegative definite matrices and the Löwner partial order of squares of those matrices. The paper was an important starting point for investigations of the problem of how an order between two matrices A and B from different sets of matrices can be preserved for the squares of the corresponding matrices A² and B², in the sense of the Löwner partial ordering, the star partial ordering, the minus partial ordering, and the sharp partial ordering. Many papers have since been published (mostly coauthored by J.K. Baksalary - to whom the present paper is dedicated) that generalize the results in two directions: by widening the class of matrices considered and by replacing the squares by arbitrary powers. In the present paper we make a résumé of some of these results and suggest some further generalizations for polynomials of the matrices considered.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2008, 28, 1; 143-155
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The asymptotic trace norm of random circulants and the graph energy
Autorzy:
Koshkin, Sergiy
Powiązania:
https://bibliotekanauki.pl/articles/729702.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
random matrix
graph energy
matrix energy
circulant
Toeplitz matrix
band matrix
Dirichlet kernel
non-uniform Berry-Esseen estimate
Talagrand concentration inequality
Opis:
We compute the expected normalized trace norm (matrix/graph energy) of random symmetric band circulant matrices and graphs in the limit of large sizes, and obtain explicit bounds on the rate of convergence to the limit, and on the probabilities of large deviations. We also show that random symmetric band Toeplitz matrices have the same limit norm assuming that their band widths remain small relative to their sizes. We compare the limit norms across a range of related random matrix and graph ensembles.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2016, 36, 1-2; 67-92
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized pell equations for 2 × 2 matrices
Autorzy:
Cohen, Boaz
Powiązania:
https://bibliotekanauki.pl/articles/38120308.pdf
Data publikacji:
2017-06-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
matrix equations
Pell equation
Opis:
In this paper we consider the solutions of the generalized matrix Pell equations X2 − dY2 = cI, where X and Y are 2 × 2 matrices over ℤ, d is a non-zero (positive or negative) square-free integer, c is an arbitrary integer and I is the 2 × 2 identity matrix. We determine all solutions of such equations for c = ±1, as well as all non-commutative solutions for an arbitrary c.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2017, 37, 1; 13-30
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Centrosymmetric graphs and a lower bound for graph energy of fullerenes
Autorzy:
Katona, Gyula Y.
Faghani, Morteza
Ashrafi, Ali Reza
Powiązania:
https://bibliotekanauki.pl/articles/30148717.pdf
Data publikacji:
2014-11-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
centrosymmetric matrix
fullerene graph
energy
Opis:
The energy of a molecular graph G is defined as the summation of the absolute values of the eigenvalues of adjacency matrix of a graph G. In this paper, an infinite class of fullerene graphs with 10n vertices, n ≥ 2, is considered. By proving centrosymmetricity of the adjacency matrix of these fullerene graphs, a lower bound for its energy is given. Our method is general and can be extended to other class of fullerene graphs.
Źródło:
Discussiones Mathematicae Graph Theory; 2014, 34, 4; 751-768
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Laplacian spectrum of some digraphs obtained from the wheel
Autorzy:
Su, Li
Li, Hong-Hai
Zheng, Liu-Rong
Powiązania:
https://bibliotekanauki.pl/articles/743220.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
digraph
Laplacian matrix
eigenvalue
wheel
Opis:
The problem of distinguishing, in terms of graph topology, digraphs with real and partially non-real Laplacian spectra is important for applications. Motivated by the question posed in [R. Agaev, P. Chebotarev, Which digraphs with rings structure are essentially cyclic?, Adv. in Appl. Math. 45 (2010), 232-251], in this paper we completely list the Laplacian eigenvalues of some digraphs obtained from the wheel digraph by deleting some arcs.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 2; 255-261
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on Andersons note on a stationary autoregressive process
Autorzy:
Kala, Radosław
Powiązania:
https://bibliotekanauki.pl/articles/729964.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
spectral radius
stationarity
covariance matrix
Opis:
A form of the covariance matrix of a weakly stationary first-order autoregressive process is established.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2010, 30, 2; 237-239
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reconstructing Surface Triangulations by Their Intersection Matrices
Autorzy:
Arocha, Jorge L.
Bracho, Javier
García-Colín, Natalia
Hubard, Isabel
Powiązania:
https://bibliotekanauki.pl/articles/31339343.pdf
Data publikacji:
2015-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
triangulated surface
isomorphism
intersection matrix
Opis:
The intersection matrix of a simplicial complex has entries equal to the rank of the intersecction of its facets. We prove that this matrix is enough to define up to isomorphism a triangulation of a surface.
Źródło:
Discussiones Mathematicae Graph Theory; 2015, 35, 3; 483-491
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear operators preserving maximal column ranks of nonbinary boolean matrices
Autorzy:
Song, Seok-Zun
Yang, Sung-Dae
Hong, Sung-Min
Jun, Young-Bae
Kim, Seon-Jeong
Powiązania:
https://bibliotekanauki.pl/articles/728798.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Boolean matrix
semiring
linear operator on matrices
congruence operator on matrices
maximal column rank of a matrix
Boolean rank of a matrix
Opis:
The maximal column rank of an m by n matrix is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over a nonbinary Boolean algebra. We also characterize the linear operators which preserve the maximal column ranks of matrices over nonbinary Boolean algebra.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 2; 255-265
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
More on Signed Graphs with at Most Three Eigenvalues
Autorzy:
Ramezani, Farzaneh
Rowlinson, Peter
Stanić, Zoran
Powiązania:
https://bibliotekanauki.pl/articles/32222534.pdf
Data publikacji:
2022-11-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
adjacency matrix
simple eigenvalue
strongly regular signed graph
vertex-deleted subgraph
weighing matrix
association scheme
Opis:
We consider signed graphs with just 2 or 3 distinct eigenvalues, in particular (i) those with at least one simple eigenvalue, and (ii) those with vertex-deleted subgraphs which themselves have at most 3 distinct eigenvalues. We also construct new examples using weighing matrices and symmetric 3-class association schemes.
Źródło:
Discussiones Mathematicae Graph Theory; 2022, 42, 4; 1313-1331
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Order unicyclic graphs according to spectral radius of unoriented laplacian matrix
Autorzy:
Fan, Yi-Zheng
Wu, Song
Powiązania:
https://bibliotekanauki.pl/articles/743077.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
unicyclic graph
Laplacian matrix
spectral radius
Opis:
The spectral radius of a graph is defined by that of its unoriented Laplacian matrix. In this paper, we determine the unicyclic graphs respectively with the third and the fourth largest spectral radius among all unicyclic graphs of given order.
Źródło:
Discussiones Mathematicae Graph Theory; 2008, 28, 3; 487-499
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the matrix negative Pell equation
Autorzy:
Grytczuk, Aleksander
Kurzydło, Izabela
Powiązania:
https://bibliotekanauki.pl/articles/728746.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
the matrix negative Pell equation
powers matrices
Opis:
Let N be a set of natural numbers and Z be a set of integers. Let M₂(Z) denotes the set of all 2x2 matrices with integer entries.
We give necessary and suficient conditions for solvability of the matrix negative Pell equation
(P) X² - dY² = -I with d ∈ N
for nonsingular X,Y belonging to M₂(Z) and his generalization
(Pn) $∑_{i=1}^{n} X₂_{i} - d ∑_{i=1}^{n} Y²_{i} = -I$ with d ∈ N
for nonsingular $X_{i},Y_{i} ∈ M₂(Z)$, i=1,...,n.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2009, 29, 1; 35-45
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A semantic construction of two-ary integers
Autorzy:
Ricci, Gabriele
Powiązania:
https://bibliotekanauki.pl/articles/729095.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
universal matrix
analytic monoid
LISP
semantics
jump
Opis:
To binary trees, two-ary integers are what usual integers are to natural numbers, seen as unary trees. We can represent two-ary integers as binary trees too, yet with leaves labelled by binary words and with a structural restriction. In a sense, they are simpler than the binary trees, they relativize. Hence, contrary to the extensions known from Arithmetic and Algebra, this integer extension does not make the starting objects more complex.
We use a semantic construction to get this extension. This method differs from the algebraic ones, mainly because it is able to find equational features of the extended objects. Two-ary integers turn out to form the free algebra corresponding to the Jónsson-Tarski's "paradoxical" equations. This entails that they have a "sum" operation as well as other operations of higher dimensions.
Two-ary integers can provide LISP memories with convenient direct access jumps and the above low complexity hints at feasible hardware implementations.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2005, 25, 2; 165-219
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł

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