USATF Georgia Association Results - Etowah Youth Track Club

18 LIST OF FIGURES158 Four fundamental subspaces of elementary matrix . . . . . . . 640159 Gimbal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 649D Matrix calculus 669160 Convex quadratic bowl in R 2 × R . . . . . . . . . . . . . . . . 680E Projection 699161 Action of pseudoinverse . . . . . . . . . . . . . . . . . . . . . . 700162 Nonorthogonal projection of x∈ R 3 on R(U)= R 2 . . . . . . . 706163 Biorthogonal expansion of point x∈aff K . . . . . . . . . . . . 717164 Dual interpretation of projection on convex set . . . . . . . . . 736165 Projection on orthogonal complement . . . . . . . . . . . . . . 739166 Projection product on convex set in subspace . . . . . . . . . 746167 von Neumann-style projection of point b . . . . . . . . . . . . 749168 Alternating projection on two halfspaces . . . . . . . . . . . . 750169 Distance, optimization, feasibility . . . . . . . . . . . . . . . . 752170 Alternating projection on nonnegative orthant and hyperplane 755171 Geometric convergence of iterates in norm . . . . . . . . . . . 755172 Distance between PSD cone and iterate in A . . . . . . . . . . 760173 Dykstra’s alternating projection algorithm . . . . . . . . . . . 762174 Polyhedral normal cones . . . . . . . . . . . . . . . . . . . . . 763175 Normal cone to elliptope . . . . . . . . . . . . . . . . . . . . . 764176 Normal-cone progression . . . . . . . . . . . . . . . . . . . . . 766