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Displaying 1 – 20 of 125

A 1-norm bound for inverses of triangular matrices with monotone entries.

Berenhaut, Kenneth S., Guy, Richard T., Vish, Nathaniel G. (2008)

Banach Journal of Mathematical Analysis [electronic only]

A Bound Connected with Primitive Matrices.

Y. Vitek (1974/1975)

Numerische Mathematik

A Bruhat order for the class of $(0, 1)$ -matrices with row sum vector $R$ and column sum vector $S$ .

Brualdi, Richard A., Hwang, Suk-Geun (2005)

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

A canonical directly infinite ring

Mario Petrich, Pedro V. Silva (2001)

Czechoslovak Mathematical Journal

Let $ℕ$ be the set of nonnegative integers and $ℤ$ the ring of integers. Let $ℬ$ be the ring of $N \times N$ matrices over $ℤ$ generated by the following two matrices: one obtained from the identity matrix by shifting the ones one position to the right and the other one position down. This ring plays an important role in the study of directly finite rings. Calculation of invertible and idempotent elements of $ℬ$ yields that the subrings generated by them coincide. This subring is the sum of the ideal $ℱ$ consisting of...

A characterization of evolutionarily stable strategies.

Länger, Helmut (1993)

Mathematica Pannonica

A class of inverse $M$ -matrices.

Nabben, Reinhard (2000)

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

A combinatorial approach to the conditioning of a single entry in the stationary distribution for a Markov chain.

Kirkland, S. (2004)

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

A combinatorial problem arising in finite Markov chains

Štefan Schwarz (1986)

Mathematica Slovaca

A computation of positive one-peak posets that are Tits-sincere

Marcin Gąsiorek, Daniel Simson (2012)

Colloquium Mathematicae

A complete list of positive Tits-sincere one-peak posets is provided by applying combinatorial algorithms and computer calculations using Maple and Python. The problem whether any square integer matrix $A \in ₙ (ℤ)$ is ℤ-congruent to its transpose $A^{t r}$ is also discussed. An affirmative answer is given for the incidence matrices $C_{I}$ and the Tits matrices $C ̂_{I}$ of positive one-peak posets I.

A conjecture on a class of matrices

José Luis Palacios (1986)

Časopis pro pěstování matematiky

A contribution to Collatz's eigenvalue inclusion theorem for nonnegative irreducible matrices.

Oepomo, Tedja Santanoe (2003)

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

A counting theorem in the semigroup of circulant Boolean matrices

Štefan Schwarz (1977)

Czechoslovak Mathematical Journal

A Factorization of an Integral 2 x 2 Matrix Via a Rational Method.

Olga Taussky (1986)

Monatshefte für Mathematik

A Fiedler-like theory for the perturbed Laplacian

Israel Rocha, Vilmar Trevisan (2016)

Czechoslovak Mathematical Journal

The perturbed Laplacian matrix of a graph $G$ is defined as $L^{D} = D - A$ , where $D$ is any diagonal matrix and $A$ is a weighted adjacency matrix of $G$ . We develop a Fiedler-like theory for this matrix, leading to results that are of the same type as those obtained with the algebraic connectivity of a graph. We show a monotonicity theorem for the harmonic eigenfunction corresponding to the second smallest eigenvalue of the perturbed Laplacian matrix over the points of articulation of a graph. Furthermore, we use...

A footnote on quaternion block-tridiagonal systems.

Costa, Cecília, Serôdio, Rogério (1999)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

A free analogue of the transportation cost inequality on the circle

Fumio Hiai, Dénes Petz (2006)

Banach Center Publications

A generalization of a theorem of Boolean relation matrices

Chong-Yun Chao, Shmuel Winograd (1977)

Czechoslovak Mathematical Journal

A geometric construction for spectrally arbitrary sign pattern matrices and the $2 n$ -conjecture

Dipak Jadhav, Rajendra Deore (2023)

Czechoslovak Mathematical Journal

We develop a geometric method for studying the spectral arbitrariness of a given sign pattern matrix. The method also provides a computational way of computing matrix realizations for a given characteristic polynomial. We also provide a partial answer to $2 n$ -conjecture. We determine that the $2 n$ -conjecture holds for the class of spectrally arbitrary patterns that have a column or row with at least $n - 1$ nonzero entries.

A Hadamard product involving inverse-positive matrices

Gassó Maria T., Torregrosa Juan R., Abad Manuel (2015)

Special Matrices

In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard product A ◦ B−1 is again an inverse-positive matrix.

A linear assignment formulation of the multiattribute decision problem

Jean-Marie Blin (1976)

RAIRO - Operations Research - Recherche Opérationnelle

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