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An algorithm is proposed to optimize quantum Monte Carlo (QMC) wave functionsbased on New ton's method and analytical computation of the first and secondderivatives of the variati onal energy. This direct application of thevariational principle yields significantly low er energy than varianceminimization methods when applied to the same trial wave function.  Quadratic convergence to the local minimum of the variational parameters isachieved. A g eneral theorem is presented, which substantially simplifies theanalytic expressions of de rivatives in the case of wave function optimization.To demonstrate the method, the ground state energies of the first-row elementsare calculated.Comment: 8 pages, 3 figure

Optimization of quantum Monte Carlo wave functions using analytical energy derivatives