Skew cyclic displacements and inversions of two innovative patterned Matrices
In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Jiang, Xiaoyu [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017transfer abstract |
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| Systematik: |
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| Umfang: |
11 |
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| Übergeordnetes Werk: |
Enthalten in: Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation - Moreira, Zeus S. ELSEVIER, 2021, New York, NY |
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| Übergeordnetes Werk: |
volume:308 ; year:2017 ; day:1 ; month:09 ; pages:174-184 ; extent:11 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.amc.2017.03.024 |
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ELV025018698 |
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| 520 | |a In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. | ||
| 520 | |a In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. | ||
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10.1016/j.amc.2017.03.024 doi GBV00000000000067A.pica (DE-627)ELV025018698 (ELSEVIER)S0096-3003(17)30206-0 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Jiang, Xiaoyu verfasserin aut Skew cyclic displacements and inversions of two innovative patterned Matrices 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. Hong, Kicheon oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:308 year:2017 day:1 month:09 pages:174-184 extent:11 https://doi.org/10.1016/j.amc.2017.03.024 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 308 2017 1 0901 174-184 11 045F 510 |
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10.1016/j.amc.2017.03.024 doi GBV00000000000067A.pica (DE-627)ELV025018698 (ELSEVIER)S0096-3003(17)30206-0 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Jiang, Xiaoyu verfasserin aut Skew cyclic displacements and inversions of two innovative patterned Matrices 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. Hong, Kicheon oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:308 year:2017 day:1 month:09 pages:174-184 extent:11 https://doi.org/10.1016/j.amc.2017.03.024 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 308 2017 1 0901 174-184 11 045F 510 |
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10.1016/j.amc.2017.03.024 doi GBV00000000000067A.pica (DE-627)ELV025018698 (ELSEVIER)S0096-3003(17)30206-0 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Jiang, Xiaoyu verfasserin aut Skew cyclic displacements and inversions of two innovative patterned Matrices 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. Hong, Kicheon oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:308 year:2017 day:1 month:09 pages:174-184 extent:11 https://doi.org/10.1016/j.amc.2017.03.024 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 308 2017 1 0901 174-184 11 045F 510 |
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10.1016/j.amc.2017.03.024 doi GBV00000000000067A.pica (DE-627)ELV025018698 (ELSEVIER)S0096-3003(17)30206-0 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Jiang, Xiaoyu verfasserin aut Skew cyclic displacements and inversions of two innovative patterned Matrices 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. Hong, Kicheon oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:308 year:2017 day:1 month:09 pages:174-184 extent:11 https://doi.org/10.1016/j.amc.2017.03.024 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 308 2017 1 0901 174-184 11 045F 510 |
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10.1016/j.amc.2017.03.024 doi GBV00000000000067A.pica (DE-627)ELV025018698 (ELSEVIER)S0096-3003(17)30206-0 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Jiang, Xiaoyu verfasserin aut Skew cyclic displacements and inversions of two innovative patterned Matrices 2017transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. Hong, Kicheon oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:308 year:2017 day:1 month:09 pages:174-184 extent:11 https://doi.org/10.1016/j.amc.2017.03.024 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 308 2017 1 0901 174-184 11 045F 510 |
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Skew cyclic displacements and inversions of two innovative patterned Matrices |
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In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. |
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In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. |
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In this paper, we deal mainly with a class of column upper-plus-lower (CUPL) Toeplitz matrices without Toeplitz structure, which are “close” to the Toeplitz matrices in the sense that their ( − 1 , 1 )-cyclic displacements coincide with cyclic displacement of some Toeplitz matrices. By constructing the corresponding displacement of the matrices, we derive the formulas on representation of the inverses of the CUPL Toeplitz matrices in the form of sums of products of factor (1, 1)-circulants and ( − 1 , − 1 ) -circulants. Furthermore, through the relation between the CUPL Toeplitz matrices and the CUPL Hankel matrices, the inverses of the CUPL Hankel matrices can be obtained as well. |
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Skew cyclic displacements and inversions of two innovative patterned Matrices |
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