Notes on the Dai–Yuan–Yuan modified spectral gradient method
نویسندگان
چکیده
منابع مشابه
Global convergence of a modified spectral FR conjugate gradient method
A modified spectral PRP conjugate gradient method is presented for solving unconstrained optimization problems. The constructed search direction is proved to be a sufficiently descent direction of the objective function. With an Armijo-type line search to determinate the step length, a new spectral PRP conjugate algorithm is developed. Under some mild conditions, the theory of global convergenc...
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making the triangle exact at each vertex. Given this, the homomorphism d = jk : E → E satisfies dd = jkjk = 0 since kj = 0 The derived couple of (A,E, i, j, k) is (A′, E ′, i′, j′, k′), where E ′ = Ker(d)/Im(d), A′ = iA, i′(a) = ia, j′(ia) = [ja], k′[e] = ke. To see that j′ is well defined, suppose ia = ib: then exactness implies that b = a+ ke for some e ∈ E, and then [jb] = [ja] + [jke] = [ja...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2010
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.04.012