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Displaying 1 – 20 of 201

$(0, 1)$ -matrices, discrepancy and preservers

LeRoy B. Beasley (2019)

Czechoslovak Mathematical Journal

Let $m$ and $n$ be positive integers, and let $R = (r_{1}, ..., r_{m})$ and $S = (s_{1}, ..., s_{n})$ be nonnegative integral vectors. Let $A (R, S)$ be the set of all $m \times n$ $(0, 1)$ -matrices with row sum vector $R$ and column vector...

A basic decomposition result related to the notion of the rank of a matrix and applications.

Mortici, Cristinel (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

A Brauer’s theorem and related results

Rafael Bru, Rafael Cantó, Ricardo Soto, Ana Urbano (2012)

Open Mathematics

Given a square matrix A, a Brauer’s theorem [Brauer A., Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J., 1952, 19(1), 75–91] shows how to modify one single eigenvalue of A via a rank-one perturbation without changing any of the remaining eigenvalues. Older and newer results can be considered in the framework of the above theorem. In this paper, we present its application to stabilization of control systems, including the case when the system...

A classification of the nilpotent triangular matrices

Wim H. Hesselink (1985)

Compositio Mathematica

A classification of two-peak sincere posets of finite prinjective type and their sincere prinjective representations

Justyna Kosakowska (2001)

Colloquium Mathematicae

Assume that K is an arbitrary field. Let (I, ⪯) be a two-peak poset of finite prinjective type and let KI be the incidence algebra of I. We study sincere posets I and sincere prinjective modules over KI. The complete set of all sincere two-peak posets of finite prinjective type is given in Theorem 3.1. Moreover, for each such poset I, a complete set of representatives of isomorphism classes of sincere indecomposable prinjective modules over KI is presented in Tables 8.1.

A direct transformation between two fundamental matrix canonical forms

Ladislav Beran (1986)

Acta Universitatis Carolinae. Mathematica et Physica

A formula for angles between subspaces of inner product spaces.

Gunawan, Hendra, Neswan, Oki, Setya-Budhi, Wono (2005)

Beiträge zur Algebra und Geometrie

A local form for the automorphisms of the spectral unit ball.

Pascal J. Thomas (2008)

Collectanea Mathematica

A new family of companion forms of polynomial matrices.

Antoniou, E.N., Vologiannidis, S. (2004)

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

A note on classes of structured matrices with elliptical type numerical range

Natália Bebiano, Susana Furtado (2021)

Czechoslovak Mathematical Journal

We identify new classes of structured matrices whose numerical range is of the elliptical type, that is, an elliptical disk or the convex hull of elliptical disks.

A note on indecomposability of Boolean matrices

Bo Zhou (2004)

Kragujevac Journal of Mathematics

A pointwise approximation of isolated trees in a random graph.

Neammanee, K. (2005)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

A rational canonical form algorithm

Keith R. Matthews (1992)

Mathematica Bohemica

We present an easy-to-implement algorithm for transforming a matrix to rational canonical form.

A rational canonical form for matrix fields

J. Beard (1974)

Acta Arithmetica

A remark on the canonical form for a pair of orthoprojectors.

George, A., Ikramov, Kh.D. (2004)

Zapiski Nauchnykh Seminarov POMI

A simple proof of the classification of normal Toeplitz matrices.

Arimoto, Akio (2002)

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

A structured staircase algorithm for skew-symmetric/symmetric pencils.

Byers, Ralph, Mehrmann, Volker, Xu, Hongguo (2007)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

AB-Algorithm and Its Modifications for the Spectral Problems of Linear Pencils of Matrices.

V.N. Kublanovskaja (1984)

Numerische Mathematik

Absolutely flat idempotents.

Johnson, Charles R., Harel, Yonatan, Hillar, Christopher J., Groves, Jonathan M., Rault, Patrick X. (2003)

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

Additive decomposition of matrices under rank conditions and zero pattern constraints

Harm Bart, Torsten Ehrhardt (2022)

Czechoslovak Mathematical Journal

This paper deals with additive decompositions $A = A_{1} + \dots + A_{p}$ of a given matrix $A$ , where the ranks of the summands $A_{1}, ..., A_{p}$ are prescribed and meet certain zero pattern requirements. The latter are formulated in terms of directed bipartite graphs.

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