On the discovery of the "good Broyden" method

Mathematical Programming, Series B

Volumn 87, Issue 2, 2000, Pages 209-213

  Broyden, C G ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29044441570     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101070050111     Document Type: Article

References (10)

1. Barnes, J. (1965): An algorithm for solving nonlinear equations based on the secant method. Comput. J. 8, 66-72
2. Bittner, L. (1959): Eine Verallgemeinerung des Sekantenverfahrens (regula falsi) zur näherungsweisen Berechnung der Nullstellen eines nichtlinearen Gleichungssystems. Wissen. Zeit. der Technischen Hochschule Dresden 9, 325
3. Broyden, C.G. (1965): A class of methods for solving nonlinear simultaneous equations. Math. Comp. 19, 577-593
4. Davidon, W.C. (1959): Variable metric method for minimization. Report ANL-5990 (Rev.), Argonne National Laboratory, Argonne, IL
5. Dennis, J.E., Jr., Schnabel, R.B. (1981): A new derivation of symmetric positive definite secant updates. In: Mangasarian, O.L., Meyer, R.R., Robinson, S.M., eds., Nonlinear Programming 4, 1980. Academic Press, New York, NY, 167-199
6. Dennis, J.E., Jr., Schnabel, R.B. (1983): Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Prentice-Hall, Inc., Englewood Cliffs, NJ
7. Fletcher, R., Powell, M.J.D. (1963): A rapidly convergent descent method for minimization. Comp. J. 6, 163-168
8. Powell, M.J.D. (1964): An efficient method for finding the minimum of a function of several variables without calculating derivatives. Comput. J. 7, 155-162
9. Sherman, J., Morrison, W.J. (1950): Adjustment of an inverse of matrix corresponding to changes in the elements of a given column or a given row of the original matrix. (Abstract of paper presented at the 12th Summer Meeting of the Institute of Mathematical Statistics, Boulder, CO, 1949) Ann. Math. Stat. 20, 621
10. Wolfe, P. (1959): The secant method for simultaneous nonlinear equations. Comm. Assoc. Comp. Mach. 2(12), 12-13