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- W1998483963 abstract "Quasi-Newton methods accelerate gradient methods for minimizing a function by approximating the inverse Hessian matrix of the function. Several papers in recent literature have dealt with the generation of classes of approximating matrices as a function of a scalar parameter. This paper derives necessary and sufficient conditions on the range of one such parameter to guarantee stability of the method. It further shows that the parameter effects only the length, not the direction, of the search vector at each step, and uses this result to derive several computational algorithms. The algorithms are evaluated on a series of test problems." @default.
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- W1998483963 date "1970-01-01" @default.
- W1998483963 modified "2023-10-18" @default.
- W1998483963 title "Optimal conditioning of quasi-Newton methods" @default.
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- W1998483963 doi "https://doi.org/10.1090/s0025-5718-1970-0274030-6" @default.
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