Nomenclature Σ Σ Σ diagonal matrix of singular values λ λ λ D vector of Lagrange multipliers for displacement transfer residual λ λ λ L vector of Lagrange multipliers for load transfer residual D displacement transfer residual H covariance matrix I identity matrix L load transfer residual R rotation U left singular vectors V right singular vectors X matrix of Lagrange multipliers enforcing SVD constraint Y symmetric matrix of Lagrange multipliers enforcing unitary constraint Z matrix of Lagrange multipliers in second-order Lagrangian d vector from weighted centroid of initial structural node locations to initial aerodynamic node location f A force on aerodynamic surface node f S,n force on structural node n
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