Linear Equations Systems of Real and Complex Semi-Quaternions
Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are in...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Alagöz, Yasemin [verfasserIn] Özyurt, Gözde [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
Complex semi-quaternion matrix |
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| Übergeordnetes Werk: |
Enthalten in: Iranian journal of science and technology - Cham, Switzerland : Springer International Pubishing, 2004, 44(2020), 5 vom: 01. Sept., Seite 1483-1493 |
|---|---|
| Übergeordnetes Werk: |
volume:44 ; year:2020 ; number:5 ; day:01 ; month:09 ; pages:1483-1493 |
| Links: |
|---|
| DOI / URN: |
10.1007/s40995-020-00956-7 |
|---|
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SPR041079140 |
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| 520 | |a Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the %$2n\times 2n%$ complex adjoint matrix and the %$4n\times 4n%$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their %$2n\times 2n%$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this %$2n\times 2n%$ matrix representation. Finally, for a complex semi-quaternion matrix %$4n\times 4n%$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. | ||
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| 650 | 4 | |a Complex semi-quaternion |7 (dpeaa)DE-He213 | |
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| 650 | 4 | |a Linear complex semi-quaternionic equations system |7 (dpeaa)DE-He213 | |
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10.1007/s40995-020-00956-7 doi (DE-627)SPR041079140 (SPR)s40995-020-00956-7-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Alagöz, Yasemin verfasserin aut Linear Equations Systems of Real and Complex Semi-Quaternions 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the %$2n\times 2n%$ complex adjoint matrix and the %$4n\times 4n%$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their %$2n\times 2n%$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this %$2n\times 2n%$ matrix representation. Finally, for a complex semi-quaternion matrix %$4n\times 4n%$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. Real semi-quaternion (dpeaa)DE-He213 Complex semi-quaternion (dpeaa)DE-He213 Real semi-quaternion matrix (dpeaa)DE-He213 Complex semi-quaternion matrix (dpeaa)DE-He213 Linear real semi-quaternionic equations system (dpeaa)DE-He213 Linear complex semi-quaternionic equations system (dpeaa)DE-He213 Özyurt, Gözde verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 44(2020), 5 vom: 01. Sept., Seite 1483-1493 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:44 year:2020 number:5 day:01 month:09 pages:1483-1493 https://dx.doi.org/10.1007/s40995-020-00956-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 44 2020 5 01 09 1483-1493 |
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10.1007/s40995-020-00956-7 doi (DE-627)SPR041079140 (SPR)s40995-020-00956-7-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Alagöz, Yasemin verfasserin aut Linear Equations Systems of Real and Complex Semi-Quaternions 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the %$2n\times 2n%$ complex adjoint matrix and the %$4n\times 4n%$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their %$2n\times 2n%$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this %$2n\times 2n%$ matrix representation. Finally, for a complex semi-quaternion matrix %$4n\times 4n%$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. Real semi-quaternion (dpeaa)DE-He213 Complex semi-quaternion (dpeaa)DE-He213 Real semi-quaternion matrix (dpeaa)DE-He213 Complex semi-quaternion matrix (dpeaa)DE-He213 Linear real semi-quaternionic equations system (dpeaa)DE-He213 Linear complex semi-quaternionic equations system (dpeaa)DE-He213 Özyurt, Gözde verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 44(2020), 5 vom: 01. Sept., Seite 1483-1493 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:44 year:2020 number:5 day:01 month:09 pages:1483-1493 https://dx.doi.org/10.1007/s40995-020-00956-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 44 2020 5 01 09 1483-1493 |
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10.1007/s40995-020-00956-7 doi (DE-627)SPR041079140 (SPR)s40995-020-00956-7-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Alagöz, Yasemin verfasserin aut Linear Equations Systems of Real and Complex Semi-Quaternions 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the %$2n\times 2n%$ complex adjoint matrix and the %$4n\times 4n%$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their %$2n\times 2n%$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this %$2n\times 2n%$ matrix representation. Finally, for a complex semi-quaternion matrix %$4n\times 4n%$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. Real semi-quaternion (dpeaa)DE-He213 Complex semi-quaternion (dpeaa)DE-He213 Real semi-quaternion matrix (dpeaa)DE-He213 Complex semi-quaternion matrix (dpeaa)DE-He213 Linear real semi-quaternionic equations system (dpeaa)DE-He213 Linear complex semi-quaternionic equations system (dpeaa)DE-He213 Özyurt, Gözde verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 44(2020), 5 vom: 01. Sept., Seite 1483-1493 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:44 year:2020 number:5 day:01 month:09 pages:1483-1493 https://dx.doi.org/10.1007/s40995-020-00956-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 44 2020 5 01 09 1483-1493 |
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10.1007/s40995-020-00956-7 doi (DE-627)SPR041079140 (SPR)s40995-020-00956-7-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Alagöz, Yasemin verfasserin aut Linear Equations Systems of Real and Complex Semi-Quaternions 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the %$2n\times 2n%$ complex adjoint matrix and the %$4n\times 4n%$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their %$2n\times 2n%$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this %$2n\times 2n%$ matrix representation. Finally, for a complex semi-quaternion matrix %$4n\times 4n%$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. Real semi-quaternion (dpeaa)DE-He213 Complex semi-quaternion (dpeaa)DE-He213 Real semi-quaternion matrix (dpeaa)DE-He213 Complex semi-quaternion matrix (dpeaa)DE-He213 Linear real semi-quaternionic equations system (dpeaa)DE-He213 Linear complex semi-quaternionic equations system (dpeaa)DE-He213 Özyurt, Gözde verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 44(2020), 5 vom: 01. Sept., Seite 1483-1493 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:44 year:2020 number:5 day:01 month:09 pages:1483-1493 https://dx.doi.org/10.1007/s40995-020-00956-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 44 2020 5 01 09 1483-1493 |
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10.1007/s40995-020-00956-7 doi (DE-627)SPR041079140 (SPR)s40995-020-00956-7-e DE-627 ger DE-627 rakwb eng 500 600 ASE 500 600 ASE Alagöz, Yasemin verfasserin aut Linear Equations Systems of Real and Complex Semi-Quaternions 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the %$2n\times 2n%$ complex adjoint matrix and the %$4n\times 4n%$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their %$2n\times 2n%$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this %$2n\times 2n%$ matrix representation. Finally, for a complex semi-quaternion matrix %$4n\times 4n%$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. Real semi-quaternion (dpeaa)DE-He213 Complex semi-quaternion (dpeaa)DE-He213 Real semi-quaternion matrix (dpeaa)DE-He213 Complex semi-quaternion matrix (dpeaa)DE-He213 Linear real semi-quaternionic equations system (dpeaa)DE-He213 Linear complex semi-quaternionic equations system (dpeaa)DE-He213 Özyurt, Gözde verfasserin aut Enthalten in Iranian journal of science and technology Cham, Switzerland : Springer International Pubishing, 2004 44(2020), 5 vom: 01. Sept., Seite 1483-1493 (DE-627)SPR038034816 (DE-600)2843077-3 2364-1819 nnns volume:44 year:2020 number:5 day:01 month:09 pages:1483-1493 https://dx.doi.org/10.1007/s40995-020-00956-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 44 2020 5 01 09 1483-1493 |
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Linear Equations Systems of Real and Complex Semi-Quaternions |
| abstract |
Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the %$2n\times 2n%$ complex adjoint matrix and the %$4n\times 4n%$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their %$2n\times 2n%$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this %$2n\times 2n%$ matrix representation. Finally, for a complex semi-quaternion matrix %$4n\times 4n%$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. |
| abstractGer |
Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the %$2n\times 2n%$ complex adjoint matrix and the %$4n\times 4n%$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their %$2n\times 2n%$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this %$2n\times 2n%$ matrix representation. Finally, for a complex semi-quaternion matrix %$4n\times 4n%$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. |
| abstract_unstemmed |
Abstract In this work firstly real semi-quaternion matrices and their properties are examined. Then, %$2n\times 2n%$ complex adjoint matrix and %$4n\times 4n%$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the %$2n\times 2n%$ complex adjoint matrix and the %$4n\times 4n%$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their %$2n\times 2n%$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this %$2n\times 2n%$ matrix representation. Finally, for a complex semi-quaternion matrix %$4n\times 4n%$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. |
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GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER |
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5 |
| title_short |
Linear Equations Systems of Real and Complex Semi-Quaternions |
| url |
https://dx.doi.org/10.1007/s40995-020-00956-7 |
| remote_bool |
true |
| author2 |
Özyurt, Gözde |
| author2Str |
Özyurt, Gözde |
| ppnlink |
SPR038034816 |
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c |
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false |
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false |
| doi_str |
10.1007/s40995-020-00956-7 |
| up_date |
2024-07-03T20:06:23.134Z |
| _version_ |
1803589709341917184 |
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7.400666 |