Results 51 to 60 of about 83 (82)

The m-weak core inverse relative to a Hermitian weight

Demonstratio Mathematica
In this paper, we introduce the concept of E-relative m-weak core inverse of a square matrix as a common extension of the E-weighted core-EP inverse and the m-weak core inverse.
Ferreyra David E., Levis Fabián E., Moas Paola, Mosić Dijana, Orquera Valentina   +4 more
doaj   +1 more source

Matrix equation representation of the convolution equation and its unique solvability

Special Matrices
We consider the convolution equation F*X=BF* X=B, where F∈R3×3F\in {{\mathbb{R}}}^{3\times 3} and B∈Rm×nB\in {{\mathbb{R}}}^{m\times n} are given and X∈Rm×nX\in {{\mathbb{R}}}^{m\times n} is to be determined. The convolution equation can be regarded as a
Satake Yuki, Sogabe Tomohiro, Kemmochi Tomoya, Zhang Shao-Liang   +3 more
doaj   +1 more source

Quadratic Approximation of Generalized Tribonacci Sequences

Discussiones Mathematicae - General Algebra and Applications, 2018
In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sV n−2 + tV n−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix of {Vn}n≥0. Then we re-prove the
Cerda-Morales Gamaliel
doaj   +1 more source

Determinant Identities and the Geometry of Lines and Circles

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The focus of this note is the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Anghel Nicolae
doaj   +1 more source

and

, 2008
A sign pattern matrix is a matrix whose entries are from the set {+, −, 0}. The minimum rank of a sign pattern matrix A is the minimum of the ranks of the real matrices whose entries have signs equal to the corresponding entries of A.
Marina Arav, Frank J. Hall, Zhongshan Li, Selcuk Koyuncu, Bhaskara Rao   +4 more
core  

HIGHER-RANK NUMERICAL RANGES AND DILATIONS

, 2008
. For any n-by-n complex matrix A and any k, 1 ≤ k ≤ n, let Λ k(A) = {λ ∈ C: X ∗ AX = λI k for some n-by-k X satisfying X ∗ X = I k} be its rank-k numerical range.
Hwa-long Gau, Chi-kwong Li, Pei Yuan Wu
core  

Weak faithfulness properties for the Burau representation

, 1996
We study the components of the matrices that belong to the image of the Burau representation of braids, and establish both algebraic and order constraints for a given Laurent polynomial to possibly be a component of such a Burau matrix. As an application
Patrick Dehornoy
core  

Weighted MP weak group inverse

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
To extent the notion of the MP weak group inverse for square matrices, we introduce the concept of the weighted MP weak group inverse for rectangular matrices.
Mosić Dijana, Marovt Janko
doaj   +1 more source

Weak MPCEP and *CEPMP inverses

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
We generalize the systems of equations, which introduced the MPCEP and *CEPMP inverses, using a minimal rank weak Drazin inverse and a minimal rank right weak Drazin inverse.
Mosić Dijana
doaj   +1 more source

Outer inverses in semigroups belonging to the prescribed Green’s equivalence classes

, 2022
Predrag Stanimirović, Miroslav Ćirić, Jelena Ignjatović   +2 more
core   +1 more source