C05 Chapter Introduction
NAG Library Manual

# NAG Library Chapter ContentsC05 – Roots of One or More Transcendental Equations

### C05 Chapter Introduction

 RoutineName Mark ofIntroduction Purpose C05ADF Example Text 8 nagf_roots_withdraw_contfn_brent_int Zero of continuous function in a given interval, Brent algorithmNote: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05AGF Example Text 8 nagf_roots_withdraw_contfn_brent_start Zero of continuous function, Brent algorithm, from a given starting value, binary search for intervalNote: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05AJF Example Text 8 nagf_roots_withdraw_contfn_cntin_start Zero of continuous function, continuation method, from a given starting valueNote: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05AUF Example Text 23 nagf_roots_contfn_brent_interval Zero of continuous function, Brent algorithm, from a given starting value, binary search for interval C05AVF Example Text 8 nagf_roots_contfn_interval_rcomm Binary search for interval containing zero of continuous function (reverse communication) C05AWF Example Text 23 nagf_roots_contfn_cntin Zero of continuous function, continuation method, from a given starting value C05AXF Example Text 8 nagf_roots_contfn_cntin_rcomm Zero of continuous function, continuation method, from a given starting value (reverse communication) C05AYF Example Text 23 nagf_roots_contfn_brent Zero of continuous function in a given interval, Brent algorithm C05AZF Example Text 7 nagf_roots_contfn_brent_rcomm Zero of continuous function in a given interval, Brent algorithm (reverse communication) C05BAF Example Text Example Data 22 nagf_roots_lambertw_real Real values of Lambert's $W$ function, $W\left(x\right)$ C05BBF Example Text Example Data 23 nagf_roots_lambertw_complex Values of Lambert's $W$ function, $W\left(z\right)$ C05NBF Example Text 9 nagf_roots_withdraw_sys_func_easy Solution of a system of nonlinear equations using function values only (easy-to-use)Note: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05NCF Example Text 9 nagf_roots_withdraw_sys_func_expert Solution of a system of nonlinear equations using function values only (comprehensive)Note: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05NDF Example Text 14 nagf_roots_withdraw_sys_func_rcomm Solution of a system of nonlinear equations using function values only (reverse communication)Note: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05PBAExample Text 22 nagf_roots_withdraw_sys_deriv_easy Solution of a system of nonlinear equations using first derivatives (easy-to-use)Note: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05PBF Example Text 9 nagf_roots_withdraw_sys_deriv_easy_old Solution of a system of nonlinear equations using first derivatives (easy-to-use)Note: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05PCAExample Text 22 nagf_roots_withdraw_sys_deriv_expert Solution of a system of nonlinear equations using first derivatives (comprehensive)Note: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05PCF Example Text 9 nagf_roots_withdraw_sys_deriv_expert_old Solution of a system of nonlinear equations using first derivatives (comprehensive)Note: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05PDAExample Text 20 nagf_roots_withdraw_sys_deriv_rcomm Solution of a system of nonlinear equations using first derivatives (reverse communication)Note: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05PDF Example Text 14 nagf_roots_withdraw_sys_deriv_rcomm_old Solution of a system of nonlinear equations using first derivatives (reverse communication)Note: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05QBF Example Text 23 nagf_roots_sys_func_easy Solution of a system of nonlinear equations using function values only (easy-to-use) C05QCF Example Text 23 nagf_roots_sys_func_expert Solution of a system of nonlinear equations using function values only (comprehensive) C05QDF Example Text 23 nagf_roots_sys_func_rcomm Solution of a system of nonlinear equations using function values only (reverse communication) C05QSF Example Text 23 nagf_roots_sparsys_func_expert Solution of a sparse system of nonlinear equations using function values only (easy-to-use) C05RBF Example Text 23 nagf_roots_sys_deriv_easy Solution of a system of nonlinear equations using first derivatives (easy-to-use) C05RCF Example Text 23 nagf_roots_sys_deriv_expert Solution of a system of nonlinear equations using first derivatives (comprehensive) C05RDF Example Text 23 nagf_roots_sys_deriv_rcomm Solution of a system of nonlinear equations using first derivatives (reverse communication) C05ZAF Example Text 9 nagf_roots_withdraw_sys_deriv_check Check user's routine for calculating first derivativesNote: this routine is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C05ZDF Example Text 23 nagf_roots_sys_deriv_check Check user's routine for calculating first derivatives of a set of nonlinear functions of several variables