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On a nonnegative irreducible matrix that is similar to a positive matrix

Raphael Loewy (2012)

Open Mathematics

Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.

On a question of Hills concerning co-transposers

Laffey, Thomas J. (1985/1986)

Portugaliae mathematica

On a theorem by Kronecker. (Short Communication).

A.M. Ostrowski (1975)

Aequationes mathematicae

On classification of normal matrices in indefinite inner product spaces.

Mehl, Christian (2006)

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

On (con)similarities and congruences between $A$ and $A^{*}$ , $A^{T}$ or $\bar{A}$ .

Vermeer, J. (2008)

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

On convexity of polynomial paths and generalized majorizations.

Dodig, Marija, Stošić, Marko (2010)

The Electronic Journal of Combinatorics [electronic only]

On corepresentations of equipped posets and their differentiation.

Rodríguez Beltrán, Claudio, Zavadskij, Alexander G. (2007)

Revista Colombiana de Matemáticas

On Kolchin's theorem.

Israel N. Herstein (1986)

Revista Matemática Iberoamericana

A well-known theorem due to Kolchin states that a semi-group G of unipotent matrices over a field F can be brought to a triangular form over the field F [4, Theorem H]. Recall that a matrix A is called unipotent if its only eigenvalue is 1, or, equivalently, if the matrix I - A is nilpotent.Many years ago I noticed that this result of Kolchin is an immediate consequence of a too-little known result due to Wedderburn [6]. This result of Wedderburn asserts that if B is a finite dimensional algebra...

On $L_{p}$ -estimates for hyperbolic systems

Jiří Kopáček (1973)

Czechoslovak Mathematical Journal

On linear preservers of two-sided gut-majorization on $𝐌_{n, m}$

Asma Ilkhanizadeh Manesh, Ahmad Mohammadhasani (2018)

Czechoslovak Mathematical Journal

For $X, Y \in 𝐌_{n, m}$ it is said that $X$ is gut-majorized by $Y$ , and we write $X ≺_{gut} Y$ , if there exists an $n$ -by- $n$ upper triangular g-row stochastic matrix $R$ such that $X = R Y$ . Define the relation $\sim_{gut}$ as follows. $X \sim_{gut} Y$ if $X$ is gut-majorized by $Y$ and $Y$ is gut-majorized by $X$ . The (strong) linear preservers of $≺_{gut}$ on $ℝ^{n}$ and strong linear preservers of this relation on $𝐌_{n, m}$ have been characterized before. This paper characterizes all (strong) linear preservers and strong linear preservers of $\sim_{gut}$ on $ℝ^{n}$ and $𝐌_{n, m}$ .

On Neighbouring Matrices with Quadratic Elementary Divisors.

J.H. Wilkinson (1984)

Numerische Mathematik

On polynomial invariant chains of matrices and principal submatrices

Vieira, João Carlos David (1985/1986)

Portugaliae mathematica

On reducing and deflating subspaces of matrices.

Monov, V., Tsatsomeros, M. (2004)

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

On row-sum majorization

Farzaneh Akbarzadeh, Ali Armandnejad (2019)

Czechoslovak Mathematical Journal

Let $𝕄_{n, m}$ be the set of all $n \times m$ real or complex matrices. For $A, B \in 𝕄_{n, m}$ , we say that $A$ is row-sum majorized by $B$ (written as $A ≺^{rs} B$ ) if $R (A) ≺ R (B)$ , where $R (A)$ is the row sum vector of $A$ and $≺$ is the classical majorization on $ℝ^{n}$ . In the present paper, the structure of all linear operators $T : 𝕄_{n, m} \to 𝕄_{n, m}$ preserving or strongly preserving row-sum majorization is characterized. Also we consider the concepts of even and circulant majorization on $ℝ^{n}$ and then find the linear preservers of row-sum majorization of these relations on $𝕄_{n, m}$ .

On S-Equivalence of Seifert Matrices.

H.F. Trotter (1973)

Inventiones mathematicae

On the characteristic polynomial of matrices with prescribed columns and the stabilization and observability of linear systems.

Furtado, Susana, Silva, Fernando C. (1998)

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

Currently displaying 1 – 20 of 35

Page 1 Next

Displaying 1 – 20 of 35

On a nonnegative irreducible matrix that is similar to a positive matrix

On a question of Hills concerning co-transposers

On a theorem by Kronecker. (Short Communication).

On classification of normal matrices in indefinite inner product spaces.

On (con)similarities and congruences between $A$ and $A^{*}$ , $A^{T}$ or $\bar{A}$ .

On convexity of polynomial paths and generalized majorizations.

On corepresentations of equipped posets and their differentiation.

On Kolchin's theorem.

On $L_{p}$ -estimates for hyperbolic systems

On linear preservers of two-sided gut-majorization on $𝐌_{n, m}$

On Neighbouring Matrices with Quadratic Elementary Divisors.

On polynomial invariant chains of matrices and principal submatrices

On reducing and deflating subspaces of matrices.

On row-sum majorization

On S-Equivalence of Seifert Matrices.

On the characteristic polynomial of matrices with prescribed columns and the stabilization and observability of linear systems.

On the decoupling of one class of multivariable systems

On the Degree of the Minimal Polynomial of the Lyapunov Operator.

On the diagonalisation of von Neumann regular matrices

On the diagonals of integral matrices

Currently displaying 1 – 20 of 35