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A MODIFIED CONJUGATE GRADIENT ALGORITHM USING MATRIX
HYBRID CONJUGATE GRADIENT TECHNIQUES FOR QUADRATIC
Sources of Structured Quadratic Programming
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approximation BNSSOR Calculate Chapter Chebyshev choice Cholesky Choose Computational Concus conjugate gradient algorithm conjugate gradient iteration conjugate gradient method convergence Cost Factor Cottle descent function efficient eigenvalue information elliptic partial differential example finite difference Gene Golub given Golub Hestenes and Stiefel hybrid algorithm hybrid conjugate gradient inner iteration Iterative Methods Iterative Solution Lanczos line search Linear Complementarity Problem Linear Equations linear system lO.l lower bounds lower triangular Math matrix system Meijerink Mesh Point Minimal Surface Equation nonlinear elliptic number of iterations operator optimal orthonormal matrix outer iteration partial differential equations Polyak positive definite matrix properties quadratic programming problem r(k+l rH rH roundoff error Rutishauser Sacher scaled conjugate gradient scaling matrix Section sequence solving linear systems SOR algorithm SOR iteration Stanford step successive overrelaxation symmetric system of equations Systems of Linear TABLE Test Problem theorem tridiagonal vector Vorst