A fast spectral conjugate gradient method for solving nonlinear optimization problems

<span>This paper proposes a new spectral conjugate gradient (SCG) approach for solving unregulated nonlinear optimization problems. Our Using Wolfe's rapid line scan to adjust the standard descent (CD) algorithm. A parameter is mixture of and old search path. The path provided by modified method provides solution objective functions. updated fits traditional CD if check correct. stability global convergence properties current SCG are technically obtained from applying certain well-known recent mild assumptions. We test our with eight recently published methods on 55 research issues CUTE library. suggested all other algorithms included in experimental were implemented FORTRAN language double precision arithmetic experiments conducted PC 8 GB ram Processor Intel Core i7. results indicate that proposed outperforms reported processing performing fewer iterations shorter time.</span>