A systolic algorithm and architecture for solving sets of linear equations with multi-band coefficient matrix
Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Krekel, Paul F. C. [verfasserIn] Deprettere, Ed F. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1989 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Journal of VLSI signal processing systems for signal, image and video technology - Springer Netherlands, 1989, 1(1989), 2 vom: 01. Okt., Seite 143-152 |
|---|---|
| Übergeordnetes Werk: |
volume:1 ; year:1989 ; number:2 ; day:01 ; month:10 ; pages:143-152 |
| Links: |
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| DOI / URN: |
10.1007/BF02477179 |
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SPR018308244 |
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| 520 | |a Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic. | ||
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10.1007/BF02477179 doi (DE-627)SPR018308244 (SPR)BF02477179-e DE-627 ger DE-627 rakwb eng Krekel, Paul F. C. verfasserin aut A systolic algorithm and architecture for solving sets of linear equations with multi-band coefficient matrix 1989 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic. Dependence Graph (dpeaa)DE-He213 Systolic Array (dpeaa)DE-He213 Iterative Solver (dpeaa)DE-He213 Systolic Algorithm (dpeaa)DE-He213 VLSI Array (dpeaa)DE-He213 Deprettere, Ed F. verfasserin aut Enthalten in Journal of VLSI signal processing systems for signal, image and video technology Springer Netherlands, 1989 1(1989), 2 vom: 01. Okt., Seite 143-152 (DE-627)SPR018308090 nnns volume:1 year:1989 number:2 day:01 month:10 pages:143-152 https://dx.doi.org/10.1007/BF02477179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_40 GBV_ILN_2006 GBV_ILN_2027 AR 1 1989 2 01 10 143-152 |
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10.1007/BF02477179 doi (DE-627)SPR018308244 (SPR)BF02477179-e DE-627 ger DE-627 rakwb eng Krekel, Paul F. C. verfasserin aut A systolic algorithm and architecture for solving sets of linear equations with multi-band coefficient matrix 1989 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic. Dependence Graph (dpeaa)DE-He213 Systolic Array (dpeaa)DE-He213 Iterative Solver (dpeaa)DE-He213 Systolic Algorithm (dpeaa)DE-He213 VLSI Array (dpeaa)DE-He213 Deprettere, Ed F. verfasserin aut Enthalten in Journal of VLSI signal processing systems for signal, image and video technology Springer Netherlands, 1989 1(1989), 2 vom: 01. Okt., Seite 143-152 (DE-627)SPR018308090 nnns volume:1 year:1989 number:2 day:01 month:10 pages:143-152 https://dx.doi.org/10.1007/BF02477179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_40 GBV_ILN_2006 GBV_ILN_2027 AR 1 1989 2 01 10 143-152 |
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10.1007/BF02477179 doi (DE-627)SPR018308244 (SPR)BF02477179-e DE-627 ger DE-627 rakwb eng Krekel, Paul F. C. verfasserin aut A systolic algorithm and architecture for solving sets of linear equations with multi-band coefficient matrix 1989 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic. Dependence Graph (dpeaa)DE-He213 Systolic Array (dpeaa)DE-He213 Iterative Solver (dpeaa)DE-He213 Systolic Algorithm (dpeaa)DE-He213 VLSI Array (dpeaa)DE-He213 Deprettere, Ed F. verfasserin aut Enthalten in Journal of VLSI signal processing systems for signal, image and video technology Springer Netherlands, 1989 1(1989), 2 vom: 01. Okt., Seite 143-152 (DE-627)SPR018308090 nnns volume:1 year:1989 number:2 day:01 month:10 pages:143-152 https://dx.doi.org/10.1007/BF02477179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_40 GBV_ILN_2006 GBV_ILN_2027 AR 1 1989 2 01 10 143-152 |
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10.1007/BF02477179 doi (DE-627)SPR018308244 (SPR)BF02477179-e DE-627 ger DE-627 rakwb eng Krekel, Paul F. C. verfasserin aut A systolic algorithm and architecture for solving sets of linear equations with multi-band coefficient matrix 1989 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic. Dependence Graph (dpeaa)DE-He213 Systolic Array (dpeaa)DE-He213 Iterative Solver (dpeaa)DE-He213 Systolic Algorithm (dpeaa)DE-He213 VLSI Array (dpeaa)DE-He213 Deprettere, Ed F. verfasserin aut Enthalten in Journal of VLSI signal processing systems for signal, image and video technology Springer Netherlands, 1989 1(1989), 2 vom: 01. Okt., Seite 143-152 (DE-627)SPR018308090 nnns volume:1 year:1989 number:2 day:01 month:10 pages:143-152 https://dx.doi.org/10.1007/BF02477179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_40 GBV_ILN_2006 GBV_ILN_2027 AR 1 1989 2 01 10 143-152 |
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10.1007/BF02477179 doi (DE-627)SPR018308244 (SPR)BF02477179-e DE-627 ger DE-627 rakwb eng Krekel, Paul F. C. verfasserin aut A systolic algorithm and architecture for solving sets of linear equations with multi-band coefficient matrix 1989 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic. Dependence Graph (dpeaa)DE-He213 Systolic Array (dpeaa)DE-He213 Iterative Solver (dpeaa)DE-He213 Systolic Algorithm (dpeaa)DE-He213 VLSI Array (dpeaa)DE-He213 Deprettere, Ed F. verfasserin aut Enthalten in Journal of VLSI signal processing systems for signal, image and video technology Springer Netherlands, 1989 1(1989), 2 vom: 01. Okt., Seite 143-152 (DE-627)SPR018308090 nnns volume:1 year:1989 number:2 day:01 month:10 pages:143-152 https://dx.doi.org/10.1007/BF02477179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_40 GBV_ILN_2006 GBV_ILN_2027 AR 1 1989 2 01 10 143-152 |
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A systolic algorithm and architecture for solving sets of linear equations with multi-band coefficient matrix |
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Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic. |
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Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic. |
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Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic. |
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A systolic algorithm and architecture for solving sets of linear equations with multi-band coefficient matrix |
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C.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="2"><subfield code="a">A systolic algorithm and architecture for solving sets of linear equations with multi-band coefficient matrix</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1989</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper we present a design example of an artificial parallel block-iterative systolic algorithm for solving large sets of linear equations with positive multi-band coefficient matrix. To prepare for the iteration the system of equations is decoupled into subsystems whose coefficient matrices are implicitly inverted using a novel direct algorithm. This algorithm computes for each submatrix a parametrized embedding of its inverse which is then used in a Jacobi-like iteration. All steps in the overall procedure are Schur-type recursions which are realized in cordic arithmetic.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dependence Graph</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systolic Array</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Iterative Solver</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systolic Algorithm</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">VLSI Array</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Deprettere, Ed F.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of VLSI signal processing systems for signal, image and video technology</subfield><subfield code="d">Springer Netherlands, 1989</subfield><subfield code="g">1(1989), 2 vom: 01. Okt., Seite 143-152</subfield><subfield code="w">(DE-627)SPR018308090</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:1</subfield><subfield code="g">year:1989</subfield><subfield code="g">number:2</subfield><subfield code="g">day:01</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:143-152</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/BF02477179</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2027</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">1</subfield><subfield code="j">1989</subfield><subfield code="e">2</subfield><subfield code="b">01</subfield><subfield code="c">10</subfield><subfield code="h">143-152</subfield></datafield></record></collection>
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