Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices
In this paper, we consider the eigenvalue problem for the class of quasi-Cauchy-Vandermonde (qCV) matrices belonging to the class of generalized sign regular matrices with signature ( 1 , … , 1 , − 1 ) . We present the explicit expressions of minors of qCV matrices. An algorithm is designed to accur...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yang, Zhao [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Umfang: |
26 |
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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:622 ; year:2021 ; day:1 ; month:08 ; pages:268-293 ; extent:26 |
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| DOI / URN: |
10.1016/j.laa.2021.03.036 |
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| 520 | |a In this paper, we consider the eigenvalue problem for the class of quasi-Cauchy-Vandermonde (qCV) matrices belonging to the class of generalized sign regular matrices with signature ( 1 , … , 1 , − 1 ) . We present the explicit expressions of minors of qCV matrices. An algorithm is designed to accurately compute the parameterization matrix for qCV matrices. Based on the parameterization matrix, all the eigenvalues of such matrices are computed to high relative accuracy. Error analysis and numerical experiments are presented to confirm the high relative accuracy. | ||
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10.1016/j.laa.2021.03.036 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001621.pica (DE-627)ELV053857046 (ELSEVIER)S0024-3795(21)00146-4 DE-627 ger DE-627 rakwb eng 690 VZ 530 620 VZ 52.56 bkl Yang, Zhao verfasserin aut Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices 2021 26 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we consider the eigenvalue problem for the class of quasi-Cauchy-Vandermonde (qCV) matrices belonging to the class of generalized sign regular matrices with signature ( 1 , … , 1 , − 1 ) . We present the explicit expressions of minors of qCV matrices. An algorithm is designed to accurately compute the parameterization matrix for qCV matrices. Based on the parameterization matrix, all the eigenvalues of such matrices are computed to high relative accuracy. Error analysis and numerical experiments are presented to confirm the high relative accuracy. 15A23 Elsevier 65D05 Elsevier 15B05 Elsevier 65F15 Elsevier 65F05 Elsevier 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:622 year:2021 day:1 month:08 pages:268-293 extent:26 https://doi.org/10.1016/j.laa.2021.03.036 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 622 2021 1 0801 268-293 26 |
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10.1016/j.laa.2021.03.036 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001621.pica (DE-627)ELV053857046 (ELSEVIER)S0024-3795(21)00146-4 DE-627 ger DE-627 rakwb eng 690 VZ 530 620 VZ 52.56 bkl Yang, Zhao verfasserin aut Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices 2021 26 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we consider the eigenvalue problem for the class of quasi-Cauchy-Vandermonde (qCV) matrices belonging to the class of generalized sign regular matrices with signature ( 1 , … , 1 , − 1 ) . We present the explicit expressions of minors of qCV matrices. An algorithm is designed to accurately compute the parameterization matrix for qCV matrices. Based on the parameterization matrix, all the eigenvalues of such matrices are computed to high relative accuracy. Error analysis and numerical experiments are presented to confirm the high relative accuracy. 15A23 Elsevier 65D05 Elsevier 15B05 Elsevier 65F15 Elsevier 65F05 Elsevier 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:622 year:2021 day:1 month:08 pages:268-293 extent:26 https://doi.org/10.1016/j.laa.2021.03.036 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 622 2021 1 0801 268-293 26 |
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Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices |
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In this paper, we consider the eigenvalue problem for the class of quasi-Cauchy-Vandermonde (qCV) matrices belonging to the class of generalized sign regular matrices with signature ( 1 , … , 1 , − 1 ) . We present the explicit expressions of minors of qCV matrices. An algorithm is designed to accurately compute the parameterization matrix for qCV matrices. Based on the parameterization matrix, all the eigenvalues of such matrices are computed to high relative accuracy. Error analysis and numerical experiments are presented to confirm the high relative accuracy. |
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In this paper, we consider the eigenvalue problem for the class of quasi-Cauchy-Vandermonde (qCV) matrices belonging to the class of generalized sign regular matrices with signature ( 1 , … , 1 , − 1 ) . We present the explicit expressions of minors of qCV matrices. An algorithm is designed to accurately compute the parameterization matrix for qCV matrices. Based on the parameterization matrix, all the eigenvalues of such matrices are computed to high relative accuracy. Error analysis and numerical experiments are presented to confirm the high relative accuracy. |
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In this paper, we consider the eigenvalue problem for the class of quasi-Cauchy-Vandermonde (qCV) matrices belonging to the class of generalized sign regular matrices with signature ( 1 , … , 1 , − 1 ) . We present the explicit expressions of minors of qCV matrices. An algorithm is designed to accurately compute the parameterization matrix for qCV matrices. Based on the parameterization matrix, all the eigenvalues of such matrices are computed to high relative accuracy. Error analysis and numerical experiments are presented to confirm the high relative accuracy. |
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Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices |
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