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Numerical methods for nonlinear algebraic equations P. Rabinowitz
Publisher: Routledge

Lec-1 Errors in Computation and Numerical Instability. Calculus: Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations. LU decomposition for systems of linear equations; numerical solutions of non linear algebraic equations by Secant, Bisection and Newton-Raphson Methods; Numerical integration by trapezoidal and Simpson's rules. Numerical methods: Numerical solution of linear and nonlinear algebraic equations, integration by trapezoidal and Simpson rule, single and multi-step methods for differential equations. Numerical.methods.for.nonlinear.algebraic.equations.pdf. Lecture series on Numerical Methods and Computation by Prof. Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations. In Numerical Methods for Nonlinear Algebraic Equations, P. Powell, A Fortran Subroutine for Solving Systems of Nonlinear Algebraic Equations. Download Numerical methods for nonlinear algebraic equations. Numerical methods for nonlinear algebraic equations. Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Gordon and Breach Science Publishers, 1970. Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson's rule, single and multi-step methods for differential equations. Linear Algebra:Matrix Algebra, Systems of linear equations, Eigen values and Eigen vectors. The roots of nonlinear (algebraic or transcendental) equations, solutions of large system of linear equations and eigen value problem of a matrix can be obtained numerically where analytical methods fail to give solution. Transform Theory: Fourier transform, Laplace transform, Z-transform. LU decomposition for systems of linear equations; numerical solutions of non-linear algebraic equations by Secant, Bisection and Newton-Raphson Methods; Numerical integration by trapezoidal and Simpson's rules.