an:00034911
Zbl 0754.65045
Chocholat??, P.
A numerical approach to \(2k+e\) nonlinear equations with only \(k\) nonlinear variables
EN
Computing 47, No. 3-4, 367-372 (1992).
00221397
1992
j
65H10 65F20
nonlinear overdetermined systems; variational equations; Newton's method; nonlinear algebraic equations; linear overdetermined system; numerical tests
The author derives a method for solving \(2k+e\) nonlinear algebraic equations in \(2k\) unknowns of the form \(L(x)y-b=0\) with unknowns \(x\) and \(y\), where \(e\) is a positive integer and the entries of the \((2k+e)\times k\) matrix \(L(x)\) are nonlinear functions of \(x\). The method is based on solving a linear overdetermined system and a polynomial equation of the \(k\)-th order. Some numerical tests are also presented.
Deng Naiyang (Beijing)