caa a22 4500 465751377 CHVBK 20180323111834.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF02262221 doi (NATIONALLICENCE)springer-10.1007/BF02262221 Solving N+m nonlinear equations with only m nonlinear variables [Elektronische Daten] [T. Ypma, Y. Shen] Lösung von N+m nichtlinearen Gleichungen mit nur m nichtlinearen Variablen We derive a method for solvingN+m nonlinear algebraic equations inN+m unknownsy≠R m andz≠R N of the formA(y)z+b(y)=0, where the(N+m) × N matrixA(y) and vectorb(y) are continuously differentiable functions ofy alone. By exploiting properties of an orthonormal basis for null(A T (y)) the problem is reduced to solvingm nonlinear equations iny only. These equations are solved by Newton's method inm variables. Details of computational implementation and results are provided. Springer-Verlag, 1989 nonlinear equations nationallicence null space nationallicence continuous basis nationallicence Newton's method nationallicence Ypma T. Department of Mathematics, Western Washington University, 98225, Bellingham, WA, USA aut Shen Y. Department of Mathematics, Western Washington University, 98225, Bellingham, WA, USA aut Computing Springer-Verlag 44/3(1990-09-01), 259-271 0010-485X 44:3<259 1990 44 607 https://doi.org/10.1007/BF02262221 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02262221 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ypma T. Department of Mathematics, Western Washington University, 98225, Bellingham, WA, USA aut NATIONALLICENCE 700 1- Shen Y. Department of Mathematics, Western Washington University, 98225, Bellingham, WA, USA aut NATIONALLICENCE 773 0- Computing Springer-Verlag 44/3(1990-09-01), 259-271 0010-485X 44:3<259 1990 44 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer