Notes on linear combinations of two tripotent, idempotent, and involutive matrices that commute

M Uç, H Özdemir, AY Özban - Linear and Multilinear Algebra, 2015 - Taylor & Francis

Let and be nonzero quadratic matrices and let and be nonzero complex numbers.
Necessary and sufficient conditions for the quadraticity of the linear combinations of the form …

被引用次数：19 相关文章所有 3 个版本

Generalized quadraticity of linear combination of two generalized quadratic matrices

T Petik, M Uç, H Özdemir - Linear and Multilinear Algebra, 2015 - Taylor & Francis

It is investigated the necessary and sufficient conditions for the generalized quadraticity of a
linear combination of any two generalized quadratic matrices. The main result obtained is, in …

被引用次数：16 相关文章所有 3 个版本

The generalized quadraticity of linear combinations of two commuting quadratic matrices

M Uç, T Petik, H Özdemir - Linear and Multilinear Algebra, 2016 - Taylor & Francis

Let and be two nonzero commuting and-quadratic matrices, respectively, where with and.
The aim of this work is mainly to characterize all situations, where the linear combination is a …

被引用次数：14 相关文章所有 4 个版本

[PDF] tubitak.gov.tr

Notes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute

T PETİK, H Özdemir… - Turkish Journal of …, 2022 - journals.tubitak.gov.tr

Abstract Let $ A_ {1} $ and $ A_ {2} $ be an $\{\alpha_ {1},\beta_ {1},\gamma_ {1}\} $-cubic
matrix and an $\{\alpha_ {2},\beta_ {2}\} $-quadratic matrix, respectively, with $\alpha …

被引用次数：1 相关文章所有 4 个版本

A disjoint idempotent decomposition for linear combinations produced from two commutative tripotent matrices and its applications

Y Tian - Linear and Multilinear Algebra, 2011 - Taylor & Francis

A square matrix A of order n is said to be tripotent if A 3= A. In this note, we give a nine-term
disjoint idempotent decomposition for the linear combination of two commutative tripotent …

被引用次数：12 相关文章所有 2 个版本

[PDF] koreascience.kr

TRIPOTENCY OF LINEAR COMBINATIONS OF A QUADRATIC MATRIX AND AN ARBITRARY MATRIX

N Kalayci, M Sarduvan - Honam Mathematical Journal, 2024 - koreascience.kr

We give necessary and sufficient conditions for tripotency of the linear combination of the
form aQ+ bA, under some certain conditions imposed on Q and A, where Q is a nonzero …

[PDF] dergipark.org.tr

On involutiveness of linear combinations of a quadratic matrix and an arbitrary matrix

N Kalaycı, M Sarduvan - Hacettepe Journal of Mathematics and Statistics - dergipark.org.tr

On involutiveness of linear combinations of a quadratic matrix and an arbitrary matrix Page 1
Hacettepe Journal of Mathematics & Statistics Hacet. J. Math. Stat. Volume 50 (4) (2021), 1012 …

被引用次数：1 相关文章所有 4 个版本

[PDF] sakarya.edu.tr

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