Numerical Analysis: Approximation of Functions
نویسنده
چکیده
Task: A polynomial can be factorized to the product of linear polynomials, but only for orders up to 4. Numerical solution is possible, but it is imprecise and division leaves a remainder. Also this is a subject of numerical anaysis. Task: Linear algebra: “A system of linear equations Ax = b has a unique solution x = A−1b if and only if det A 6= 0.” Programming: “Real numbers cannot be tested for equality!” Numerical anaysis: “Imprecision of coefficients causes imprecision of outputs, which for det A → 0 exceeds all bounds.” This is called an ill-conditioned task. Task: Linear algebra: “det A is a sum of products ∑
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