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Displaying 1881 – 1900 of 3024

On the maximal subgroup of the sandwich semigroup of generalized circulant Boolean matrices

Jinsong Chen, Yi Jia Tan (2006)

Czechoslovak Mathematical Journal

Let $n$ be a positive integer, and $C_{n} (r)$ the set of all $n \times n$ $r$ -circulant matrices over the Boolean algebra $B = {0, 1}$ , $G_{n} = ⋃_{r = 0}^{n - 1} C_{n} (r)$ . For any fixed $r$ -circulant matrix $C$ ( $C \neq 0$ ) in $G_{n}$ , we define an operation “ $*$ ” in $G_{n}$ as follows: $A * B = A C B$ for any $A, B$ in $G_{n}$ , where $A C B$ is the usual product of Boolean matrices. Then $(G_{n}, *)$ is a semigroup. We denote this semigroup by $G_{n} (C)$ and call it the sandwich semigroup of generalized circulant...

On the Maximum Eigenvalue of a Reducible Non-Negative Real Matrix.

Christopher D.H. Cooper (1973)

Mathematische Zeitschrift

On the maximum positive semi-definite nullity and the cycle matroid of graphs.

Van Der Holst, Hein (2009)

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

On the maximum row and column sum norm of GCD and related matrices.

Haukkanen, Pentti (2007)

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

On the Maximum Value of a Class of Determinants

Jaroslav Kurzweil (1973)

Matematický časopis

On the minimum rank of not necessarily symmetric matrices: a preliminary study.

Barioli, Francesco, Fallat, Shaun M., Hall, H.Tracy, Hershkowitz, Daniel, Hogben, Leslie, Van Der Holst, Hein, Shader, Bryan (2009)

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

On the minimum vector rank of multigraphs.

Mitchell, Lon H., Narayan, Sivaram K., Rogers, Ian (2010)

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

On the Monotonity of Incomplete Factorization.

Tibor Fiala (1990)

Numerische Mathematik

On the necessary and sufficient condition for a set of matrices to commute and some further linked results.

de la Sen, M. (2009)

Mathematical Problems in Engineering

On the Nonflatness of Analytic Tensor Product.

Joseph Becker (1979)

Mathematische Annalen

On the Nonnegativity of XX* and its Relevance in Econometrics.

Gerd Ronning (1985)

Metrika

On the non-quadraticity of values of the q-exponential function and related q-series

Christian Krattenthaler, Igor Rochev, Keijo Väänänen, Wadim Zudilin (2009)

Acta Arithmetica

On the optimality and sharpness of Laguerre's lower bound on the smallest eigenvalue of a symmetric positive definite matrix

Yusaku Yamamoto (2017)

Applications of Mathematics

Lower bounds on the smallest eigenvalue of a symmetric positive definite matrix $A \in ℝ^{m \times m}$ play an important role in condition number estimation and in iterative methods for singular value computation. In particular, the bounds based on $Tr (A^{- 1})$ and $Tr (A^{- 2})$ have attracted attention recently, because they can be computed in $O (m)$ operations when $A$ is tridiagonal. In this paper, we focus on these bounds and investigate their properties in detail. First, we consider the problem of finding the optimal bound that can be computed...

On the orbit of the centralizer of a matrix

Ching-I Hsin (2002)

Colloquium Mathematicae

Let A be a complex n × n matrix. Let A' be its commutant in Mₙ(ℂ), and C(A) be its centralizer in GL(n,ℂ). Consider the standard C(A)-action on ℂⁿ. We describe the C(A)-orbits via invariant subspaces of A'. For example, we count the number of C(A)-orbits as well as that of invariant subspaces of A'.

On the partitioned matrix $(\begin{matrix} O & A \\ A^{} & Q \end{matrix})$ and its associated system $A X = T, A^{} Y + Q X = Z$

Vladimiro Valerio (1981)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

On the periodic quotient singular value decomposition.

Hench, J.J. (1994)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Currently displaying 1881 – 1900 of 3024

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Displaying 1881 – 1900 of 3024

On the maximal subgroup of the sandwich semigroup of generalized circulant Boolean matrices

On the Maximum Eigenvalue of a Reducible Non-Negative Real Matrix.

On the maximum positive semi-definite nullity and the cycle matroid of graphs.

On the maximum row and column sum norm of GCD and related matrices.

On the Maximum Value of a Class of Determinants

On the minimum rank of not necessarily symmetric matrices: a preliminary study.

On the minimum vector rank of multigraphs.

On the Monotonity of Incomplete Factorization.

On the necessary and sufficient condition for a set of matrices to commute and some further linked results.

On the Nonflatness of Analytic Tensor Product.

On the Nonnegativity of XX* and its Relevance in Econometrics.

On the non-quadraticity of values of the q-exponential function and related q-series

On the optimality and sharpness of Laguerre's lower bound on the smallest eigenvalue of a symmetric positive definite matrix

On the orbit of the centralizer of a matrix

On the order of linear dependence of real functions

On the ordered sets in $n$ -dimensional real inner product spaces.

On the parametric solution to the second-order Sylvester matrix equation $E V F^{2} - A V F - C V = B W$ .

On the partial ordering of almost definite matrices

On the partitioned matrix $(\begin{matrix} O & A \\ A^{} & Q \end{matrix})$ and its associated system $A X = T, A^{} Y + Q X = Z$

On the periodic quotient singular value decomposition.

Currently displaying 1881 – 1900 of 3024