14.5.3 Simple-Siteration Method
Condition: solve the system of equations by the method of simple iterations, taking three steps. Find the absolute and relative computing errors: \ [\ Left \ {\ Begin {Array} {l} 3 x+y = 4 \\ x+2 y = 3 \ end {array} \ right. \]
The Simple-Siteration Method, Also Known As the Fixed-Point ITRENTION METHOD, Offers Approach to Solving Equations and Systems by ITERATIVE estimate. Rooted in the Principle of Successive Approximation, The Simple-Siteration Method Holds Across Across Various Fields of Science and Engineering. At Its Essence, The Simple-Siteration Method Transforms Complex Problems Into aquence of Simpler Steps. CHETHER UNRAVELING Nonlinear Equations, Addressing Eigenvalue Problems, OR Venturing Into OF OPTIMIZATION, The METHOD's Adaptability IS ASTAM Universal Applicability. The Heart of the Simple-Eiteration Method Lies in Its Ability to Sculpt the Problem Domain Into a Journey of Self-Correction.