The modified conjugate residual method for partial differential equations:
This paper presents the Modified Conjugate Residual (MCR) Method, a stabilized version of Luenberger's Method of Conjugate Residuals, for solving large sparse systems of linear equations. This iterative method has special significance when the system is not positive definite so that methods lik...
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
[New Haven, Conn.]
1977
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| Series: | Yale University <New Haven, Conn.> / Department of Computer Science: Research report
107 |
| Subjects: | |
| Summary: | This paper presents the Modified Conjugate Residual (MCR) Method, a stabilized version of Luenberger's Method of Conjugate Residuals, for solving large sparse systems of linear equations. This iterative method has special significance when the system is not positive definite so that methods like Conjugate Gradients are inapplicable. In the special case when the system is positive definite, MCR reduces to one of the family of general conjugate gradient methods discussed by Hestenes. |
| Physical Description: | 23 S. |
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| 245 | 1 | 0 | |a The modified conjugate residual method for partial differential equations |c R. Chandra, S. C. Eisenstat, and M. H. Schultz |
| 264 | 1 | |a [New Haven, Conn.] |c 1977 | |
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| 490 | 1 | |a Yale University <New Haven, Conn.> / Department of Computer Science: Research report |v 107 | |
| 520 | 3 | |a This paper presents the Modified Conjugate Residual (MCR) Method, a stabilized version of Luenberger's Method of Conjugate Residuals, for solving large sparse systems of linear equations. This iterative method has special significance when the system is not positive definite so that methods like Conjugate Gradients are inapplicable. In the special case when the system is positive definite, MCR reduces to one of the family of general conjugate gradient methods discussed by Hestenes. | |
| 650 | 7 | |a Error analysis |2 dtict | |
| 650 | 7 | |a Finite difference theory |2 dtict | |
| 650 | 7 | |a Finite element analysis |2 dtict | |
| 650 | 7 | |a Gradients |2 dtict | |
| 650 | 7 | |a Iterations |2 dtict | |
| 650 | 7 | |a Linear algebra |2 dtict | |
| 650 | 7 | |a Numerical analysis |2 dtict | |
| 650 | 7 | |a Partial differential equations |2 dtict | |
| 650 | 7 | |a Residues |2 dtict | |
| 650 | 7 | |a Solutions(general) |2 dtict | |
| 650 | 7 | |a Sparse matrix |2 dtict | |
| 650 | 7 | |a Theoretical Mathematics |2 scgdst | |
| 700 | 1 | |a Eisenstat, Stanley C. |e Verfasser |4 aut | |
| 700 | 1 | |a Schultz, Martin H. |e Verfasser |4 aut | |
| 810 | 2 | |a Department of Computer Science: Research report |t Yale University <New Haven, Conn.> |v 107 |w (DE-604)BV006663362 |9 107 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006560387 | ||
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| author | Chandra, Rati Eisenstat, Stanley C. Schultz, Martin H. |
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| id | DE-604.BV009905465 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:42:57Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006560387 |
| oclc_num | 227477558 |
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| physical | 23 S. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
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| series2 | Yale University <New Haven, Conn.> / Department of Computer Science: Research report |
| spelling | Chandra, Rati Verfasser aut The modified conjugate residual method for partial differential equations R. Chandra, S. C. Eisenstat, and M. H. Schultz [New Haven, Conn.] 1977 23 S. txt rdacontent n rdamedia nc rdacarrier Yale University <New Haven, Conn.> / Department of Computer Science: Research report 107 This paper presents the Modified Conjugate Residual (MCR) Method, a stabilized version of Luenberger's Method of Conjugate Residuals, for solving large sparse systems of linear equations. This iterative method has special significance when the system is not positive definite so that methods like Conjugate Gradients are inapplicable. In the special case when the system is positive definite, MCR reduces to one of the family of general conjugate gradient methods discussed by Hestenes. Error analysis dtict Finite difference theory dtict Finite element analysis dtict Gradients dtict Iterations dtict Linear algebra dtict Numerical analysis dtict Partial differential equations dtict Residues dtict Solutions(general) dtict Sparse matrix dtict Theoretical Mathematics scgdst Eisenstat, Stanley C. Verfasser aut Schultz, Martin H. Verfasser aut Department of Computer Science: Research report Yale University <New Haven, Conn.> 107 (DE-604)BV006663362 107 |
| spellingShingle | Chandra, Rati Eisenstat, Stanley C. Schultz, Martin H. The modified conjugate residual method for partial differential equations Error analysis dtict Finite difference theory dtict Finite element analysis dtict Gradients dtict Iterations dtict Linear algebra dtict Numerical analysis dtict Partial differential equations dtict Residues dtict Solutions(general) dtict Sparse matrix dtict Theoretical Mathematics scgdst |
| title | The modified conjugate residual method for partial differential equations |
| title_auth | The modified conjugate residual method for partial differential equations |
| title_exact_search | The modified conjugate residual method for partial differential equations |
| title_full | The modified conjugate residual method for partial differential equations R. Chandra, S. C. Eisenstat, and M. H. Schultz |
| title_fullStr | The modified conjugate residual method for partial differential equations R. Chandra, S. C. Eisenstat, and M. H. Schultz |
| title_full_unstemmed | The modified conjugate residual method for partial differential equations R. Chandra, S. C. Eisenstat, and M. H. Schultz |
| title_short | The modified conjugate residual method for partial differential equations |
| title_sort | the modified conjugate residual method for partial differential equations |
| topic | Error analysis dtict Finite difference theory dtict Finite element analysis dtict Gradients dtict Iterations dtict Linear algebra dtict Numerical analysis dtict Partial differential equations dtict Residues dtict Solutions(general) dtict Sparse matrix dtict Theoretical Mathematics scgdst |
| topic_facet | Error analysis Finite difference theory Finite element analysis Gradients Iterations Linear algebra Numerical analysis Partial differential equations Residues Solutions(general) Sparse matrix Theoretical Mathematics |
| volume_link | (DE-604)BV006663362 |
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