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Displaying 41 – 60 of 147

On linear maps leaving invariant the copositive/completely positive cones

Sachindranath Jayaraman, Vatsalkumar N. Mer (2024)

Czechoslovak Mathematical Journal

The objective of this manuscript is to investigate the structure of linear maps on the space of real symmetric matrices $𝒮^{n}$ that leave invariant the closed convex cones of copositive and completely positive matrices ( ${COP}_{n}$ and ${CP}_{n}$ ). A description of an invertible linear map on $𝒮^{n}$ such that $L ({CP}_{n}) \subset C P_{n}$ is obtained in terms of semipositive maps over the positive semidefinite cone $𝒮_{+}^{n}$ and the cone of symmetric nonnegative matrices $𝒩_{+}^{n}$ for $n \leq 4$ , with specific calculations for $n = 2$ . Preserver properties of the Lyapunov map $X \mapsto A X + X A^{t}$ , the...

On linear maps preserving g-majorization from $𝔽^{n}$ to $𝔽^{m}$ .

Armandnejad, Ali, Heydari, Hossein (2010)

Journal of Inequalities and Applications [electronic only]

On linear operators strongly preserving invariants of Boolean matrices

Yizhi Chen, Xian Zhong Zhao (2012)

Czechoslovak Mathematical Journal

Let $𝔹_{k}$ be the general Boolean algebra and $T$ a linear operator on $M_{m, n} (𝔹_{k})$ . If for any $A$ in $M_{m, n} (𝔹_{k})$ ( $M_{n} (𝔹_{k})$ , respectively), $A$ is regular (invertible, respectively) if and only if $T (A)$ is regular (invertible, respectively), then $T$ is said to strongly preserve regular (invertible, respectively) matrices. In this paper, we will give complete characterizations of the linear operators that strongly preserve regular (invertible, respectively) matrices over $𝔹_{k}$ . Meanwhile, noting that a general Boolean algebra $𝔹_{k}$ is isomorphic...

On matrices having an invariant cone

George Phillip Barker (1972)

Czechoslovak Mathematical Journal

On matrices with all minors negative.

Fallat, Shaun M., van den Driessche, P. (2000)

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

On means of positive definite matrices

Theodore Töllis (1987)

Czechoslovak Mathematical Journal

On minimal rank over finite fields.

Ding, Guoli, Kotlov, Andreĭ (2006)

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

On Nilpotent Subsemigroups in some Matrix Semigroups

Ganyushkin, Olexandr, Mazorchuk, Volodymyr (2007)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 20M20, 20M10.We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup Ωn of all n × n real matrices with non-negative coefficients and the semigroup Dn of all doubly stochastic real matrices.

On nonnegative matrices with given row and column sums.

Drury, S. W., Merikoski, J. K., Laakso, V., Tossavainen, T. (2003)

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

On nonnegative operators and fully cyclic peripheral spectrum.

Förster, K.-H., Nagy, B. (1998)

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

On nonnegative sign equivalent and sign similar factorizations of matrices.

Hershkowitz, Daniel, Pinkus, Allan (2007)

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

On orderings induced by the Loewner partial ordering

Jan Hauke, Augustyn Markiewicz (1994)

Applicationes Mathematicae

The partial ordering induced by the Loewner partial ordering on the convex cone comprising all matrices which multiplied by a given positive definite matrix become nonnegative definite is considered. Its relation to orderings which are induced by the Loewner partial ordering of the squares of matrices is presented. Some extensions of the latter orderings and their comparison to star orderings are given.

For p ≡ 1 (mod 4), we prove the formula (conjectured by R. Chapman) for the determinant of the (p+1)/2 × (p+1)/2 matrix $C = (C_{i j})$ with $C_{i j} = ((j - i) / p)$ .

On rank subtractivity between normal matrices.

Merikoski, Jorma K., Liu, Xiaoji (2008)

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

On rings with zero divisors. Strong $V$ -groups

Thomas N. Vougiouklis (1990)

Commentationes Mathematicae Universitatis Carolinae

Currently displaying 41 – 60 of 147

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Displaying 41 – 60 of 147

On linear maps leaving invariant the copositive/completely positive cones

On linear maps preserving g-majorization from $𝔽^{n}$ to $𝔽^{m}$ .

On linear operators strongly preserving invariants of Boolean matrices

On matrices having an invariant cone

On matrices with all minors negative.

On means of positive definite matrices

On minimal rank over finite fields.

On Nilpotent Subsemigroups in some Matrix Semigroups

On nonnegative matrices with given row and column sums.

On nonnegative operators and fully cyclic peripheral spectrum.

On nonnegative sign equivalent and sign similar factorizations of matrices.

On orderings induced by the Loewner partial ordering

On permutation symmetries of Hopfield model neural network.

On polynomial $E P_{r}$ matrices.

On Powers of Non-Negative Matrices

On powers of non-negative matrices

On properties of quadratic matrices.

On R. Chapman's "evil determinant": case p ≡ 1 (mod 4)

On rank subtractivity between normal matrices.

On rings with zero divisors. Strong $V$ -groups

Currently displaying 41 – 60 of 147