The inverse, rank and product of tensors
In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. The existence of order 2 left (right) inverses of tensors is characterized. We obtain some equalities and inequalities on the tensor rank. We also show that the rank of a uniform hypergraph is ind...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bu, Changjiang [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Umfang: |
12 |
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| Übergeordnetes Werk: |
Enthalten in: CFD investigation on particle deposition in aligned and staggered ribbed duct air flows - Lu, Hao ELSEVIER, 2016, LAA, New York, NY |
|---|---|
| Übergeordnetes Werk: |
volume:446 ; year:2014 ; day:1 ; month:04 ; pages:269-280 ; extent:12 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.laa.2013.12.015 |
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ELV028515234 |
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| 520 | |a In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. The existence of order 2 left (right) inverses of tensors is characterized. We obtain some equalities and inequalities on the tensor rank. We also show that the rank of a uniform hypergraph is independent of the ordering of its vertices, and the Laplacian tensor and the signless Laplacian tensor have the same rank for odd-bipartite even uniform hypergraphs. | ||
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10.1016/j.laa.2013.12.015 doi GBVA2014022000021.pica (DE-627)ELV028515234 (ELSEVIER)S0024-3795(13)00823-9 DE-627 ger DE-627 rakwb eng 510 510 DE-600 690 VZ 530 620 VZ 52.56 bkl Bu, Changjiang verfasserin aut The inverse, rank and product of tensors 2014 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. The existence of order 2 left (right) inverses of tensors is characterized. We obtain some equalities and inequalities on the tensor rank. We also show that the rank of a uniform hypergraph is independent of the ordering of its vertices, and the Laplacian tensor and the signless Laplacian tensor have the same rank for odd-bipartite even uniform hypergraphs. 15A69 Elsevier 15A03 Elsevier 15A09 Elsevier Zhang, Xu oth Zhou, Jiang oth Wang, Wenzhe oth Wei, Yimin oth Enthalten in American Elsevier Publ Lu, Hao ELSEVIER CFD investigation on particle deposition in aligned and staggered ribbed duct air flows 2016 LAA New York, NY (DE-627)ELV014483130 volume:446 year:2014 day:1 month:04 pages:269-280 extent:12 https://doi.org/10.1016/j.laa.2013.12.015 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_40 GBV_ILN_2015 GBV_ILN_2021 52.56 Regenerative Energieformen alternative Energieformen VZ AR 446 2014 1 0401 269-280 12 045F 510 |
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10.1016/j.laa.2013.12.015 doi GBVA2014022000021.pica (DE-627)ELV028515234 (ELSEVIER)S0024-3795(13)00823-9 DE-627 ger DE-627 rakwb eng 510 510 DE-600 690 VZ 530 620 VZ 52.56 bkl Bu, Changjiang verfasserin aut The inverse, rank and product of tensors 2014 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. The existence of order 2 left (right) inverses of tensors is characterized. We obtain some equalities and inequalities on the tensor rank. We also show that the rank of a uniform hypergraph is independent of the ordering of its vertices, and the Laplacian tensor and the signless Laplacian tensor have the same rank for odd-bipartite even uniform hypergraphs. 15A69 Elsevier 15A03 Elsevier 15A09 Elsevier Zhang, Xu oth Zhou, Jiang oth Wang, Wenzhe oth Wei, Yimin oth Enthalten in American Elsevier Publ Lu, Hao ELSEVIER CFD investigation on particle deposition in aligned and staggered ribbed duct air flows 2016 LAA New York, NY (DE-627)ELV014483130 volume:446 year:2014 day:1 month:04 pages:269-280 extent:12 https://doi.org/10.1016/j.laa.2013.12.015 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_40 GBV_ILN_2015 GBV_ILN_2021 52.56 Regenerative Energieformen alternative Energieformen VZ AR 446 2014 1 0401 269-280 12 045F 510 |
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In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. The existence of order 2 left (right) inverses of tensors is characterized. We obtain some equalities and inequalities on the tensor rank. We also show that the rank of a uniform hypergraph is independent of the ordering of its vertices, and the Laplacian tensor and the signless Laplacian tensor have the same rank for odd-bipartite even uniform hypergraphs. |
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In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. The existence of order 2 left (right) inverses of tensors is characterized. We obtain some equalities and inequalities on the tensor rank. We also show that the rank of a uniform hypergraph is independent of the ordering of its vertices, and the Laplacian tensor and the signless Laplacian tensor have the same rank for odd-bipartite even uniform hypergraphs. |
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In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. The existence of order 2 left (right) inverses of tensors is characterized. We obtain some equalities and inequalities on the tensor rank. We also show that the rank of a uniform hypergraph is independent of the ordering of its vertices, and the Laplacian tensor and the signless Laplacian tensor have the same rank for odd-bipartite even uniform hypergraphs. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV028515234</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230623193751.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2014 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.laa.2013.12.015</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2014022000021.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV028515234</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0024-3795(13)00823-9</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">690</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="a">620</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">52.56</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bu, Changjiang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The inverse, rank and product of tensors</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">12</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. 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