Fundamental concept of 3-D matrices

Burhaneddin Izgi; Murat Özkaya

doi:10.1063/1.5047881

Fundamental concept of 3-D matrices

Burhaneddin Izgi^*
, Murat Özkaya

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Technical University

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

1 Atıf (Scopus)

Özet

In this paper, we extend some definitions and properties for the 2-dimensional matrices to the 3-dimensional matrices. We present some basic concepts of the 3-dimensional matrices. Moreover, we introduce the matrix inversion, determinant and condition number vectors for the 3-D matrices. Furthermore, we state and prove Cauchy-Schwarz inequality and some other inequalities related to the 3-dimensional matrix norms. We finally investigate the effects of the third dimension with the new definitions and inequalities by some examples.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	1st International Conference on Mathematical and Related Sciences, ICMRS 2018
Editörler	Alper Ekinci, Erhan Set, Mehmet Zeki Sarikaya, Ahmet Ocak Akdemir
Yayınlayan	American Institute of Physics Inc.
ISBN (Elektronik)	9780735417076
DOI'lar	https://doi.org/10.1063/1.5047881
Yayın durumu	Yayınlandı - 27 Tem 2018
Etkinlik	1st International Conference on Mathematical and Related Sciences, ICMRS 2018 - Antalya, Turkey Süre: 30 Nis 2018 → 4 May 2018

Yayın serisi

Adı	AIP Conference Proceedings
Hacim	1991
ISSN (Basılı)	0094-243X
ISSN (Elektronik)	1551-7616

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???event.eventtypes.event.conference???	1st International Conference on Mathematical and Related Sciences, ICMRS 2018
Ülke/Bölge	Turkey
Şehir	Antalya
Periyot	30/04/18 → 4/05/18

Bibliyografik not

Publisher Copyright:
© 2018 Author(s).

Belgeye Erişim

10.1063/1.5047881

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@inproceedings{f63739c1c0474359893ba0340777dfa6,

title = "Fundamental concept of 3-D matrices",

abstract = "In this paper, we extend some definitions and properties for the 2-dimensional matrices to the 3-dimensional matrices. We present some basic concepts of the 3-dimensional matrices. Moreover, we introduce the matrix inversion, determinant and condition number vectors for the 3-D matrices. Furthermore, we state and prove Cauchy-Schwarz inequality and some other inequalities related to the 3-dimensional matrix norms. We finally investigate the effects of the third dimension with the new definitions and inequalities by some examples.",

author = "Burhaneddin Izgi and Murat {\"O}zkaya",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s).; 1st International Conference on Mathematical and Related Sciences, ICMRS 2018 ; Conference date: 30-04-2018 Through 04-05-2018",

year = "2018",

month = jul,

day = "27",

doi = "10.1063/1.5047881",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Alper Ekinci and Erhan Set and Sarikaya, \{Mehmet Zeki\} and Akdemir, \{Ahmet Ocak\}",

booktitle = "1st International Conference on Mathematical and Related Sciences, ICMRS 2018",

}

Izgi, B & Özkaya, M 2018, Fundamental concept of 3-D matrices. in A Ekinci, E Set, MZ Sarikaya & AO Akdemir (eds), 1st International Conference on Mathematical and Related Sciences, ICMRS 2018., 020008, AIP Conference Proceedings, hac. 1991, American Institute of Physics Inc., 1st International Conference on Mathematical and Related Sciences, ICMRS 2018, Antalya, Turkey, 30/04/18. https://doi.org/10.1063/1.5047881

Fundamental concept of 3-D matrices. / Izgi, Burhaneddin; Özkaya, Murat.
1st International Conference on Mathematical and Related Sciences, ICMRS 2018. ed. / Alper Ekinci; Erhan Set; Mehmet Zeki Sarikaya; Ahmet Ocak Akdemir. American Institute of Physics Inc., 2018. 020008 (AIP Conference Proceedings; Hac. 1991).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

T1 - Fundamental concept of 3-D matrices

AU - Izgi, Burhaneddin

AU - Özkaya, Murat

PY - 2018/7/27

Y1 - 2018/7/27

N2 - In this paper, we extend some definitions and properties for the 2-dimensional matrices to the 3-dimensional matrices. We present some basic concepts of the 3-dimensional matrices. Moreover, we introduce the matrix inversion, determinant and condition number vectors for the 3-D matrices. Furthermore, we state and prove Cauchy-Schwarz inequality and some other inequalities related to the 3-dimensional matrix norms. We finally investigate the effects of the third dimension with the new definitions and inequalities by some examples.

AB - In this paper, we extend some definitions and properties for the 2-dimensional matrices to the 3-dimensional matrices. We present some basic concepts of the 3-dimensional matrices. Moreover, we introduce the matrix inversion, determinant and condition number vectors for the 3-D matrices. Furthermore, we state and prove Cauchy-Schwarz inequality and some other inequalities related to the 3-dimensional matrix norms. We finally investigate the effects of the third dimension with the new definitions and inequalities by some examples.

UR - https://www.scopus.com/pages/publications/85051124117

U2 - 10.1063/1.5047881

DO - 10.1063/1.5047881

M3 - Conference contribution

AN - SCOPUS:85051124117

T3 - AIP Conference Proceedings

BT - 1st International Conference on Mathematical and Related Sciences, ICMRS 2018

A2 - Ekinci, Alper

A2 - Set, Erhan

A2 - Sarikaya, Mehmet Zeki

A2 - Akdemir, Ahmet Ocak

PB - American Institute of Physics Inc.

T2 - 1st International Conference on Mathematical and Related Sciences, ICMRS 2018

Y2 - 30 April 2018 through 4 May 2018

ER -

Fundamental concept of 3-D matrices

Özet

Yayın serisi

???event.eventtypes.event.conference???

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

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