Broyden's method (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Broyden's method" in English language version.

refsWebsite

Global rank English rank

17doi.org

2^nd place

10worldcat.org

5^th place

2springer.com

274^th place

309^th place

2arxiv.org

69^th place

59^th place

2iop.org

1,725^th place

1,828^th place

1jstor.org

26^th place

20^th place

1projecteuclid.org

3,707^th place

2,409^th place

1acm.org

1,185^th place

840^th place

1ams.org

451^st place

277^th place

1elsevier.com

610^th place

704^th place

1aps.org

1,503^rd place

1,378^th place

1jatm.com.br

low place

1mathworks.com

6,214^th place

4,509^th place

acm.org (Global: 1,185^th place; English: 840^th place)

dl.acm.org

Anderson, Donald G. (1965). "Iterative Procedures for Nonlinear Integral Equations". Journal of the ACM. 12 (4): 547–560. doi:10.1145/321296.321305. ISSN 0004-5411.

ams.org (Global: 451^st place; English: 277^th place)

Schubert, L. K. (1970). "Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian". Mathematics of Computation. 24 (109): 27–30. doi:10.1090/S0025-5718-1970-0258276-9. ISSN 0025-5718.

aps.org (Global: 1,503^rd place; English: 1,378^th place)

link.aps.org

Kresse, G.; Furthmüller, J. (1996). "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set". Physical Review B. 54 (16): 11169–11186. doi:10.1103/PhysRevB.54.11169. ISSN 0163-1829.

arxiv.org (Global: 69^th place; English: 59^th place)

Marks, L. D.; Luke, D. R. (2008). "Robust mixing for ab initio quantum mechanical calculations". Physical Review B. 78 (7). arXiv:0801.3098. doi:10.1103/physrevb.78.075114. ISSN 1098-0121.
Woods, N D; Payne, M C; Hasnip, P J (2019). "Computing the self-consistent field in Kohn–Sham density functional theory". Journal of Physics: Condensed Matter. 31 (45): 453001. arXiv:1905.02332. doi:10.1088/1361-648X/ab31c0. ISSN 0953-8984.

doi.org (Global: 2^nd place; English: 2^nd place)

doi.org

Broyden, C. G. (1965). "A Class of Methods for Solving Nonlinear Simultaneous Equations". Mathematics of Computation. 19 (92). American Mathematical Society: 577–593. doi:10.1090/S0025-5718-1965-0198670-6. JSTOR 2003941.
Gay, D. M. (1979). "Some convergence properties of Broyden's method". SIAM Journal on Numerical Analysis. 16 (4). SIAM: 623–630. doi:10.1137/0716047.
Shanno, D. F.; Phua, Kang -Hoh (1978). "Matrix conditioning and nonlinear optimization". Mathematical Programming. 14 (1): 149–160. doi:10.1007/BF01588962. ISSN 0025-5610.
Sherman, Jack; Morrison, Winifred J. (1950). "Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix". The Annals of Mathematical Statistics. 21 (1): 124–127. doi:10.1214/aoms/1177729893. ISSN 0003-4851.
Kvaalen, Eric (1991). "A faster Broyden method". BIT Numerical Mathematics. 31 (2). SIAM: 369–372. doi:10.1007/BF01931297.
Martı́nez, José Mario (2000). "Practical quasi-Newton methods for solving nonlinear systems". Journal of Computational and Applied Mathematics. 124 (1–2): 97–121. doi:10.1016/s0377-0427(00)00434-9. ISSN 0377-0427.
Marks, L. D.; Luke, D. R. (2008). "Robust mixing for ab initio quantum mechanical calculations". Physical Review B. 78 (7). arXiv:0801.3098. doi:10.1103/physrevb.78.075114. ISSN 1098-0121.
Nocedal, Jorge; Wright, Stephen J. (2006). Numerical Optimization. Springer Series in Operations Research and Financial Engineering. Springer New York. doi:10.1007/978-0-387-40065-5. ISBN 978-0-387-30303-1.
Anderson, Donald G. (1965). "Iterative Procedures for Nonlinear Integral Equations". Journal of the ACM. 12 (4): 547–560. doi:10.1145/321296.321305. ISSN 0004-5411.
Schubert, L. K. (1970). "Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian". Mathematics of Computation. 24 (109): 27–30. doi:10.1090/S0025-5718-1970-0258276-9. ISSN 0025-5718.
Pulay, Péter (1980). "Convergence acceleration of iterative sequences. the case of scf iteration". Chemical Physics Letters. 73 (2): 393–398. doi:10.1016/0009-2614(80)80396-4.
Kresse, G.; Furthmüller, J. (1996). "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set". Physical Review B. 54 (16): 11169–11186. doi:10.1103/PhysRevB.54.11169. ISSN 0163-1829.
Srivastava, G P (1984). "Broyden's method for self-consistent field convergence acceleration". Journal of Physics A: Mathematical and General. 17 (6): L317–L321. doi:10.1088/0305-4470/17/6/002. ISSN 0305-4470.
Klement, Jan (2014). "On Using Quasi-Newton Algorithms of the Broyden Class for Model-to-Test Correlation". Journal of Aerospace Technology and Management. 6 (4): 407–414. doi:10.5028/jatm.v6i4.373. ISSN 2175-9146.
Woods, N D; Payne, M C; Hasnip, P J (2019). "Computing the self-consistent field in Kohn–Sham density functional theory". Journal of Physics: Condensed Matter. 31 (45): 453001. arXiv:1905.02332. doi:10.1088/1361-648X/ab31c0. ISSN 0953-8984.

dx.doi.org

Martı́nez, José Mario (2000). "Practical quasi-Newton methods for solving nonlinear systems". Journal of Computational and Applied Mathematics. 124 (1–2): 97–121. doi:10.1016/s0377-0427(00)00434-9. ISSN 0377-0427.
Marks, L. D.; Luke, D. R. (2008). "Robust mixing for ab initio quantum mechanical calculations". Physical Review B. 78 (7). arXiv:0801.3098. doi:10.1103/physrevb.78.075114. ISSN 1098-0121.

elsevier.com (Global: 610^th place; English: 704^th place)

linkinghub.elsevier.com

Pulay, Péter (1980). "Convergence acceleration of iterative sequences. the case of scf iteration". Chemical Physics Letters. 73 (2): 393–398. doi:10.1016/0009-2614(80)80396-4.

iop.org (Global: 1,725^th place; English: 1,828^th place)

iopscience.iop.org

Srivastava, G P (1984). "Broyden's method for self-consistent field convergence acceleration". Journal of Physics A: Mathematical and General. 17 (6): L317–L321. doi:10.1088/0305-4470/17/6/002. ISSN 0305-4470.
Woods, N D; Payne, M C; Hasnip, P J (2019). "Computing the self-consistent field in Kohn–Sham density functional theory". Journal of Physics: Condensed Matter. 31 (45): 453001. arXiv:1905.02332. doi:10.1088/1361-648X/ab31c0. ISSN 0953-8984.

jatm.com.br (Global: low place; English: low place)

Klement, Jan (2014). "On Using Quasi-Newton Algorithms of the Broyden Class for Model-to-Test Correlation". Journal of Aerospace Technology and Management. 6 (4): 407–414. doi:10.5028/jatm.v6i4.373. ISSN 2175-9146.

jstor.org (Global: 26^th place; English: 20^th place)

Broyden, C. G. (1965). "A Class of Methods for Solving Nonlinear Simultaneous Equations". Mathematics of Computation. 19 (92). American Mathematical Society: 577–593. doi:10.1090/S0025-5718-1965-0198670-6. JSTOR 2003941.

mathworks.com (Global: 6,214^th place; English: 4,509^th place)

"Broyden class methods – File Exchange – MATLAB Central". www.mathworks.com. Retrieved 2016-02-04.

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

Sherman, Jack; Morrison, Winifred J. (1950). "Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix". The Annals of Mathematical Statistics. 21 (1): 124–127. doi:10.1214/aoms/1177729893. ISSN 0003-4851.

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Shanno, D. F.; Phua, Kang -Hoh (1978). "Matrix conditioning and nonlinear optimization". Mathematical Programming. 14 (1): 149–160. doi:10.1007/BF01588962. ISSN 0025-5610.
Nocedal, Jorge; Wright, Stephen J. (2006). Numerical Optimization. Springer Series in Operations Research and Financial Engineering. Springer New York. doi:10.1007/978-0-387-40065-5. ISBN 978-0-387-30303-1.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Shanno, D. F.; Phua, Kang -Hoh (1978). "Matrix conditioning and nonlinear optimization". Mathematical Programming. 14 (1): 149–160. doi:10.1007/BF01588962. ISSN 0025-5610.
Sherman, Jack; Morrison, Winifred J. (1950). "Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix". The Annals of Mathematical Statistics. 21 (1): 124–127. doi:10.1214/aoms/1177729893. ISSN 0003-4851.
Martı́nez, José Mario (2000). "Practical quasi-Newton methods for solving nonlinear systems". Journal of Computational and Applied Mathematics. 124 (1–2): 97–121. doi:10.1016/s0377-0427(00)00434-9. ISSN 0377-0427.
Marks, L. D.; Luke, D. R. (2008). "Robust mixing for ab initio quantum mechanical calculations". Physical Review B. 78 (7). arXiv:0801.3098. doi:10.1103/physrevb.78.075114. ISSN 1098-0121.
Anderson, Donald G. (1965). "Iterative Procedures for Nonlinear Integral Equations". Journal of the ACM. 12 (4): 547–560. doi:10.1145/321296.321305. ISSN 0004-5411.
Schubert, L. K. (1970). "Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian". Mathematics of Computation. 24 (109): 27–30. doi:10.1090/S0025-5718-1970-0258276-9. ISSN 0025-5718.
Kresse, G.; Furthmüller, J. (1996). "Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set". Physical Review B. 54 (16): 11169–11186. doi:10.1103/PhysRevB.54.11169. ISSN 0163-1829.
Srivastava, G P (1984). "Broyden's method for self-consistent field convergence acceleration". Journal of Physics A: Mathematical and General. 17 (6): L317–L321. doi:10.1088/0305-4470/17/6/002. ISSN 0305-4470.
Klement, Jan (2014). "On Using Quasi-Newton Algorithms of the Broyden Class for Model-to-Test Correlation". Journal of Aerospace Technology and Management. 6 (4): 407–414. doi:10.5028/jatm.v6i4.373. ISSN 2175-9146.
Woods, N D; Payne, M C; Hasnip, P J (2019). "Computing the self-consistent field in Kohn–Sham density functional theory". Journal of Physics: Condensed Matter. 31 (45): 453001. arXiv:1905.02332. doi:10.1088/1361-648X/ab31c0. ISSN 0953-8984.

Broyden's method (English Wikipedia)

acm.org (Global: 1,185th place; English: 840th place)

dl.acm.org

ams.org (Global: 451st place; English: 277th place)

aps.org (Global: 1,503rd place; English: 1,378th place)

link.aps.org

arxiv.org (Global: 69th place; English: 59th place)

doi.org (Global: 2nd place; English: 2nd place)