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

Gökmen, Burak Tufan; Özdemir, Halim; Demirkol, Tuğba

doi:10.55730/1300-0098.3338

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

TUGBA PETIK, (Sakarya Üniversitesi, Fen Fakültesi, Matematik Bölümü, Sakarya, Türkiye)

Halim ÖZDEMİR, (Sakarya Üniversitesi, Fen Fakültesi, Matematik Bölümü, Sakarya, Türkiye)

Burak Tufan GÖKMEN (Sakarya Üniversitesi, Fen Fakültesi, Matematik Bölümü, Sakarya, Türkiye)

Turkish Journal of Mathematics

2 0

Yıl: 2022 Cilt: 46 Sayı: 8 Sayfa Aralığı: 3373 - 3390 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3338 İndeks Tarihi: 02-01-2023

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

Öz:

Let A1 and A2 be an {α1, β1, γ1} -cubic matrix and an {α2, β2} -quadratic matrix, respectively, with $α1 ̸ = β1 , β1 ̸ = $gamma1$, α1 ̸ = $gamma1$ and α2 ̸ = β2$ . In this work, we characterize all situations in which the linear combination A3 = a1A1 + a2A2 with the assumption A1A2 = A2A1 is an {α3, β3} -quadratic matrix, where a1 and a2 are unknown nonzero complex numbers.

Anahtar Kelime: Quadratic matrix cubic matrix linear combination diagonalization

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Demirkol T, Özdemir H, Gökmen B (2022). otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. , 3373 - 3390. 10.55730/1300-0098.3338
Chicago	Demirkol Tuğba,Özdemir Halim,Gökmen Burak Tufan otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. (2022): 3373 - 3390. 10.55730/1300-0098.3338
MLA	Demirkol Tuğba,Özdemir Halim,Gökmen Burak Tufan otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. , 2022, ss.3373 - 3390. 10.55730/1300-0098.3338
AMA	Demirkol T,Özdemir H,Gökmen B otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. . 2022; 3373 - 3390. 10.55730/1300-0098.3338
Vancouver	Demirkol T,Özdemir H,Gökmen B otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. . 2022; 3373 - 3390. 10.55730/1300-0098.3338
IEEE	Demirkol T,Özdemir H,Gökmen B "otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute." , ss.3373 - 3390, 2022. 10.55730/1300-0098.3338
ISNAD	Demirkol, Tuğba vd. "otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute". (2022), 3373-3390. https://doi.org/10.55730/1300-0098.3338

APA	Demirkol T, Özdemir H, Gökmen B (2022). otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. Turkish Journal of Mathematics, 46(8), 3373 - 3390. 10.55730/1300-0098.3338
Chicago	Demirkol Tuğba,Özdemir Halim,Gökmen Burak Tufan otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. Turkish Journal of Mathematics 46, no.8 (2022): 3373 - 3390. 10.55730/1300-0098.3338
MLA	Demirkol Tuğba,Özdemir Halim,Gökmen Burak Tufan otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. Turkish Journal of Mathematics, vol.46, no.8, 2022, ss.3373 - 3390. 10.55730/1300-0098.3338
AMA	Demirkol T,Özdemir H,Gökmen B otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. Turkish Journal of Mathematics. 2022; 46(8): 3373 - 3390. 10.55730/1300-0098.3338
Vancouver	Demirkol T,Özdemir H,Gökmen B otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute. Turkish Journal of Mathematics. 2022; 46(8): 3373 - 3390. 10.55730/1300-0098.3338
IEEE	Demirkol T,Özdemir H,Gökmen B "otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute." Turkish Journal of Mathematics, 46, ss.3373 - 3390, 2022. 10.55730/1300-0098.3338
ISNAD	Demirkol, Tuğba vd. "otes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute". Turkish Journal of Mathematics 46/8 (2022), 3373-3390. https://doi.org/10.55730/1300-0098.3338