NUK - logo

Search results

Basic search    Advanced search   
Search
request
Library

Currently you are NOT authorised to access e-resources NUK. For full access, REGISTER.

1 2 3 4 5
hits: 82
1.
  • Skew-adjacency matrices of ... Skew-adjacency matrices of tournaments with bounded principal minors
    Boussaïri, Abderrahim; Ezzahir, Sara; Lakhlifi, Soufiane ... Discrete mathematics, October 2023, 2023-10-00, Volume: 346, Issue: 10
    Journal Article
    Peer reviewed
    Open access

    Let T be a tournament with n vertices v1,…,vn. The skew-adjacency matrix of T is the n×n zero-diagonal matrix S=sij in which sij=−sji=1 if vi dominates vj. It is well-known that the determinant of S ...
Full text
2.
  • Algorithmic detection and c... Algorithmic detection and construction of N-matrices
    Choudhury, Projesh Nath; Tsatsomeros, Michael J. Linear algebra and its applications, 10/2020, Volume: 602
    Journal Article
    Peer reviewed

    N-matrices are real n×n matrices all of whose principal minors are negative. We provide (i) an O(2n) test to detect whether or not a given matrix is an N-matrix, and (ii) a characterization of ...
Full text
3.
  • An efficient algorithm for ... An efficient algorithm for the symmetric principal minor assignment problem
    Rising, Justin; Kulesza, Alex; Taskar, Ben Linear algebra and its applications, 05/2015, Volume: 473
    Journal Article
    Peer reviewed
    Open access

    We consider the problem of reconstructing a symmetric matrix from its principal minors, which has several applications in information theory and statistical modeling. We develop a theory of symmetric ...
Full text

PDF
4.
  • Skew-symmetric matrices and... Skew-symmetric matrices and their principal minors
    Boussaïri, Abderrahim; Chergui, Brahim Linear algebra and its applications, 11/2015, Volume: 485
    Journal Article
    Peer reviewed
    Open access

    In this article, we study the following problem. Given a positive integer k, what is the relationship between two matrices with entries in a field K and having equal corresponding principal minors of ...
Full text

PDF
5.
  • On the almost-principal min... On the almost-principal minors of a symmetric matrix
    Fallat, Shaun M.; Martínez-Rivera, Xavier Linear algebra and its applications, 12/2020, Volume: 606
    Journal Article
    Peer reviewed
    Open access

    The almost-principal rank characteristic sequence (apr-sequence) of an n×n symmetric matrix is introduced, which is defined to be the string a1a2⋯an−1, where ak is either A, S, or N, according as ...
Full text

PDF
6.
  • Simultaneous kernels of mat... Simultaneous kernels of matrix Hadamard powers
    Belton, Alexander; Guillot, Dominique; Khare, Apoorva ... Linear algebra and its applications, 09/2019, Volume: 576
    Journal Article
    Peer reviewed
    Open access

    In previous work Belton et al. (2016) 2, the structure of the simultaneous kernels of Hadamard powers of any positive semidefinite matrix was described. Key ingredients in the proof included a novel ...
Full text

PDF
7.
  • A particular matrix with ex... A particular matrix with exponential form, its inversion and some norms
    Shi, Baijuan AIMS mathematics, 01/2022, Volume: 7, Issue: 5
    Journal Article
    Peer reviewed
    Open access

    In this paper, we study a particular $ n\times n $ matrix $ A = a_{k_{ij}}^n_{i, j = 1} $ and its Hadamard inverse $ A^{\circ (-1)} $, whose entire elements are exponential form $ a_k = ...
Full text

PDF
8.
  • Principal minor assignment,... Principal minor assignment, isometries of Hilbert spaces, volumes of parallelepipeds and rescaling of sesqui-holomorphic functions
    Bilokopytov, Eugene Linear algebra and its applications, 11/2019, Volume: 580
    Journal Article
    Peer reviewed
    Open access

    In this article we consider the following equivalence relation on the class of all functions of two variables on a set X: we will say that L,M:X×X→C are rescalings if there are non-vanishing ...
Full text

PDF
9.
  • Principal minor ideals and ... Principal minor ideals and rank restrictions on their vanishing sets
    Wheeler, Ashley K. Journal of algebra, 01/2017, Volume: 469
    Journal Article
    Peer reviewed
    Open access

    All matrices we consider have entries in a fixed algebraically closed field K. A minor of a square matrix is principal means it is defined by the same row and column indices. We study the ideal ...
Full text

PDF
10.
  • Combinatorial properties of... Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields
    Dukes, Peter J.; Martínez-Rivera, Xavier Special matrices, 01/2022, Volume: 10, Issue: 1
    Journal Article
    Peer reviewed
    Open access

    The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix ∈ 𝔽 is defined as ℓ · · · ℓ , where ℓ ∈ {A, S, N} according to whether all, some but not all, or none of the ...
Full text

PDF
1 2 3 4 5
hits: 82

Load filters