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Displaying 81 – 100 of 147

On the convergence theory of double $K$ -weak splittings of type II

Vaibhav Shekhar, Nachiketa Mishra, Debasisha Mishra (2022)

Applications of Mathematics

Recently, Wang (2017) has introduced the $K$ -nonnegative double splitting using the notion of matrices that leave a cone $K \subseteq ℝ^{n}$ invariant and studied its convergence theory by generalizing the corresponding results for the nonnegative double splitting by Song and Song (2011). However, the convergence theory for $K$ -weak regular and $K$ -nonnegative double splittings of type II is not yet studied. In this article, we first introduce this class of splittings and then discuss the convergence theory for these sub-classes...

On the defining polynomials of maximal real cyclotomic extensions.

María Teresa Aranés, Ángela Arenas (2008)

RACSAM

On the derivatives of the Perron vector

Deutsch, Emeric, Neumann, Michael (1985/1986)

Portugaliae mathematica

On the determinants of some kinds of circulant-type matrices with generalized number sequences

Emrullah Kirklar, Fatih Yilmaz (2015)

Special Matrices

Recently, determinant computation of circulant type matrices with well-known number sequences has been studied, extensively. This study provides the determinants of the RFMLR, RLMFL, RFPrLrR and RLPrFrL circulant matrices with generalized number sequences of second order.

On the diagonalisation of von Neumann regular matrices

R. Puystjens, J. van Geel (1985)

Acta Universitatis Carolinae. Mathematica et Physica

On the diagonals of integral matrices

Eduardo Marques de Sá (1980)

Czechoslovak Mathematical Journal

On the divisibility of power LCM matrices by power GCD matrices

Jian Rong Zhao, Shaofang Hong, Qunying Liao, Kar-Ping Shum (2007)

Czechoslovak Mathematical Journal

Let $S = {x_{1}, \dots, x_{n}}$ be a set of $n$ distinct positive integers and $e \geq 1$ an integer. Denote the $n \times n$ power GCD (resp. power LCM) matrix on $S$ having the $e$ -th power of the greatest common divisor $(x_{i}, x_{j})$ (resp. the $e$ -th power of the least common multiple $[x_{i}, x_{j}]$ ) as the $(i, j)$ -entry of the matrix by $({(x_{i}, x_{j})}^{e})$ (resp. $({[x_{i}, x_{j}]}^{e}))$ . We call the set $S$ an odd gcd closed (resp. odd lcm closed) set if every element in $S$ is an odd number and $(x_{i}, x_{j}) \in S$ (resp. $[x_{i}, x_{j}] \in S$ ) for all $1 \leq i, j \leq n$ . In studying the divisibility of the power LCM and power GCD matrices, Hong conjectured in 2004 that...

On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions.

Fonseca, Tiago, Zinn-Justin, Paul (2008)

The Electronic Journal of Combinatorics [electronic only]

On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector

Ludwig F. Elsner, Christopher R. Johnson, M. Neumann (1982)

Czechoslovak Mathematical Journal

On the Eigenvalues of Sums of Hermitian Matrices. II.

Robert C. Thompson, Linda J. Freede (1970)

Aequationes mathematicae

On the equivalence of Hermitian inner products on topological *-algebras.

Abel, Mart, Abel, Mati (2010)

Banach Journal of Mathematical Analysis [electronic only]

On the exponent of $r$ -regular primitive matrices.

Bueno, M.I., Furtado, S. (2008)

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

On the fast reduction of symmetric rationally generated Toeplitz matrices to tridiagonal form.

Frederix, K., Gemignani, L., Van Barel, M. (2009)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

On the Fischer inequality

Queiró, João Filipe (1983/1984)

Portugaliae mathematica

On the function $Tr e^{H + i t K}$ .

Fannes, Mark, Petz, Dénes (2002)

International Journal of Mathematics and Mathematical Sciences

On the Gaussian random matrix ensembles with additional symmetry conditions.

Vasilchuk, Vladimir (2006)

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

On the Hölder continuity of matrix functions for normal matrices.

Wihler, Thomas P. (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On the inertia sets of some symmetric sign patterns

C. M. da Fonseca (2006)

Czechoslovak Mathematical Journal

A matrix whose entries consist of elements from the set ${+, -, 0}$ is a sign pattern matrix. Using a linear algebra theoretical approach we generalize of some recent results due to Hall, Li and others involving the inertia of symmetric tridiagonal sign matrices.

On the invariant factors of sums of integral matrices

Marques de Sá, Eduardo (1989)

Portugaliae mathematica

On the invertibility of a linear function on the quaternions.

Škapin-Rugelj, Marjeta (2006)

Mathematica Pannonica

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