Numerical implementation of generalized Coddington equations for ophthalmic lens design

Numerical implementation of generalized Coddington equations for ophthalmic lens design

Numerical implementation of generalized Coddington equations for ophthalmic lens design P. Rojo, S. Royo, J. Ramírez & I. Madariaga a UPC-CD6, Center for Sensor, Instruments and Systems Development, Universitat Politècnica de Catalunya, Rambla Sant Nebridi 10 Terrassa E08222, Spain b Vallès Oftalmologia Recerca VO-R. Hospital General de Catalunya. 4th floor Green building, Room 387. C/Pedro I P...

On the numerical solution of generalized Sylvester matrix equations

‎The global FOM and GMRES algorithms are among the effective‎ ‎methods to solve Sylvester matrix equations‎. ‎In this paper‎, ‎we‎ ‎study these algorithms in the case that the coefficient matrices‎ ‎are real symmetric (real symmetric positive definite) and extract‎ ‎two CG-type algorithms for solving generalized Sylvester matrix‎ ‎equations‎. ‎The proposed methods are iterative projection metho...

The Taylor Method for Numerical Solution of Fuzzy Generalized Pantograph Equations with Linear Functional Argument

Numerical solution of generalized Lyapunov equations

Two eecient methods for solving generalized Lyapunov equations and their implementations in FORTRAN 77 are presented. The rst one is a generalization of the Bartels{Stewart method and the second is an extension of Ham-marling's method to generalized Lyapunov equations. Our LAPACK based subroutines are implemented in a quite exible way. They can handle the transposed equations and provide scalin...

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...