On a general convergence for Broyden like update method
The role of Broyden's method as a powerful quasi-Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known. We offer here a general convergence criterion for a method akin to Broyden's method in Rn. The approach is different fr...
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129100042X |
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| _version_ | 1832553356026970112 |
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| author | Rabindranath Sen Rini Chattopadhyay Tripti Saha |
| author_facet | Rabindranath Sen Rini Chattopadhyay Tripti Saha |
| author_sort | Rabindranath Sen |
| collection | DOAJ |
| description | The role of Broyden's method as a powerful quasi-Newton method for solving
unconstrained optimization problems or a system of nonlinear algebraic equations is
well known. We offer here a general convergence criterion for a method akin to
Broyden's method in Rn. The approach is different from those of other convergence
proofs which are available only for the direct prediction methods. |
| format | Article |
| id | doaj-art-c0ce2adf7b7948a69199aec648a559c9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c0ce2adf7b7948a69199aec648a559c92025-02-03T05:54:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114234936110.1155/S016117129100042XOn a general convergence for Broyden like update methodRabindranath Sen0Rini Chattopadhyay1Tripti Saha2Department of Applied Mathematics, Calcutta University, 92, A.P.C. Road, Calcutta 700009, IndiaDepartment of Applied Mathematics, Calcutta University, 92, A.P.C. Road, Calcutta 700009, IndiaDepartment of Applied Mathematics, Calcutta University, 92, A.P.C. Road, Calcutta 700009, IndiaThe role of Broyden's method as a powerful quasi-Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known. We offer here a general convergence criterion for a method akin to Broyden's method in Rn. The approach is different from those of other convergence proofs which are available only for the direct prediction methods.http://dx.doi.org/10.1155/S016117129100042Xunconstrained optimizationBroyden's methodpartial ordering in RnM-matrix. |
| spellingShingle | Rabindranath Sen Rini Chattopadhyay Tripti Saha On a general convergence for Broyden like update method International Journal of Mathematics and Mathematical Sciences unconstrained optimization Broyden's method partial ordering in Rn M-matrix. |
| title | On a general convergence for Broyden like update method |
| title_full | On a general convergence for Broyden like update method |
| title_fullStr | On a general convergence for Broyden like update method |
| title_full_unstemmed | On a general convergence for Broyden like update method |
| title_short | On a general convergence for Broyden like update method |
| title_sort | on a general convergence for broyden like update method |
| topic | unconstrained optimization Broyden's method partial ordering in Rn M-matrix. |
| url | http://dx.doi.org/10.1155/S016117129100042X |
| work_keys_str_mv | AT rabindranathsen onageneralconvergenceforbroydenlikeupdatemethod AT rinichattopadhyay onageneralconvergenceforbroydenlikeupdatemethod AT triptisaha onageneralconvergenceforbroydenlikeupdatemethod |