## A Parallel Jacobson-Oksman Optimization Algorithm |

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4-D Banana Helical achieve convergence addition to describing Banana Helical valley choosing chosen by method convex function describing the algorithm DFP method evaluating the function EXAMPLE FUNCTIONS example problems experiments indicate f(tx full rank function and gradient function evaluations required gradient and function gradient-dependent optimization technique homogeneous function Homogeneous Model homogeneous of degree ideal parallel computer iterates ith component Jacobson and Oksman Langley Research Center less computing Linear Algebra linear system locate the minimum Miranker modified algorithm n-tuple n-vector Norm of gradient Number of cycles number of function Oksman ref orthant PARALLEL JACOBSON-OKSMAN ALGORITHM parallel variable metric parallel-computing capabilities PJO algorithm positive definite Powell's function problems in less quadratic functions required for convergence RESULTS OF NUMERICAL rithm scalar search direction Serial computer serial nature singular value decomposition symmetric matrix tions Total evaluation parallel Total evaluation serial TOTAL NUMBER univariate minimization value at convergence vector-streaming or parallel-computing