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Displaying 1761 – 1780 of 3024

On some properties of the Laplacian matrix revealed by the RCM algorithm

Francisco Pedroche, Miguel Rebollo, Carlos Carrascosa, Alberto Palomares (2016)

Czechoslovak Mathematical Journal

In this paper we present some theoretical results about the irreducibility of the Laplacian matrix ordered by the Reverse Cuthill-McKee (RCM) algorithm. We consider undirected graphs with no loops consisting of some connected components. RCM is a well-known scheme for numbering the nodes of a network in such a way that the corresponding adjacency matrix has a narrow bandwidth. Inspired by some properties of the eigenvectors of a Laplacian matrix, we derive some properties based on row sums of a...

On some properties of the symplectic and Hamiltonian matrices.

Wainberg, Dorin (2004)

Acta Universitatis Apulensis. Mathematics - Informatics

On some representations of hypergroups

Thomas Vougiouklis (1990)

Annales scientifiques de l'Université de Clermont. Mathématiques

On some spectral characteristics of multiparameter polynomial matrices.

Khazanov, V.B. (2004)

Zapiski Nauchnykh Seminarov POMI

On spaces of matrices with a bounded number of eigenvalues.

Loewy, Raphael, Radwan, Nizar (1998)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On sparsity of approximate solutions to max-plus linear systems

Pingke Li (2024)

Kybernetika

When a system of one-sided max-plus linear equations is inconsistent, the approximate solutions within an admissible error bound may be desired instead, particularly with some sparsity property. It is demonstrated in this paper that obtaining the sparsest approximate solution within a given $L_{\infty}$ error bound may be transformed in polynomial time into the set covering problem, which is known to be NP-hard. Besides, the problem of obtaining the sparsest approximate solution within a given $L_{1}$ error bound...

On spectra of expansion graphs and matrix polynomials. II.

Förster, K.-H., Nagy, B. (2002)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On spectra perturbation and elementary divisors of positive matrices.

Ccapa, Javier, Soto, Ricardo L. (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On spectral properties of linear combinations of idempotents

Hong-Ke Du, Chun-Yan Deng, Mostafa Mbekhta, Vladimír Müller (2007)

Studia Mathematica

Let P,Q be two linear idempotents on a Banach space. We show that the closedness of the range and complementarity of the kernel (range) of linear combinations of P and Q are independent of the choice of coefficients. This generalizes known results and shows that many spectral properties of linear combinations do not depend on their coefficients.

On spectral variations under bounded real matrix perturbations.

D. Hinrichsen, A.J. Pritchard (1991/1992)

Numerische Mathematik

On spinor varieties and their secants.

Manivel, Laurent (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

On stability of parametrized families of polynomials and matrices.

Akyar, Handan, Büyükköroğlu, Taner, Dzhafarov, Vakıf (2010)

Abstract and Applied Analysis

On submultiplicative nonnegative functionals on linear maps of linear finitedimensional normed spaces

Jaroslav Kurzweil (1972)

Czechoslovak Mathematical Journal

On sums of $k$ - $E P$ matrices.

Meenakshi, A.R., Krishnamoorthy, S. (1999)

Bulletin of the Malaysian Mathematical Society. Second Series

On sums of range symmetric matrices in Minkowski space.

Meenakshi, Ar., Krishnaswamy, D. (2002)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On symmetric matrices with exactly one positive eigenvalue.

Shen, Shu-Qian, Huang, Ting-Zhu (2010)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On systems of linear algebraic equations in the Colombeau algebra

Jan Ligęza, Milan Tvrdý (1999)

Mathematica Bohemica

From the fact that the unique solution of a homogeneous linear algebraic system is the trivial one we can obtain the existence of a solution of the nonhomogeneous system. Coefficients of the systems considered are elements of the Colombeau algebra $\bar{ℝ}$ of generalized real numbers. It is worth mentioning that the algebra $\bar{ℝ}$ is not a field.

Currently displaying 1761 – 1780 of 3024

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Displaying 1761 – 1780 of 3024

On some properties of the Laplacian matrix revealed by the RCM algorithm

On some properties of the symplectic and Hamiltonian matrices.

On some representations of hypergroups

On some spectral characteristics of multiparameter polynomial matrices.

On spaces of matrices with a bounded number of eigenvalues.

On sparsity of approximate solutions to max-plus linear systems

On spectra of expansion graphs and matrix polynomials. II.

On spectra perturbation and elementary divisors of positive matrices.

On spectral properties of linear combinations of idempotents

On spectral variations under bounded real matrix perturbations.

On spinor varieties and their secants.

On stability of parametrized families of polynomials and matrices.

On submultiplicative nonnegative functionals on linear maps of linear finitedimensional normed spaces

On sums of $k$ - $E P$ matrices.

On sums of range symmetric matrices in Minkowski space.

On symmetric matrices with exactly one positive eigenvalue.

On systems of linear algebraic equations in the Colombeau algebra

On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue.

On the algebraic properties of convex bodies and some applications.

On the Analogue of Koebe's Theorem for Functions with Values in a Clifford Algebra.

Currently displaying 1761 – 1780 of 3024