There are two functions are listed below. In each problem, write the problem min, f(x) as a linear least-squares problem min, ||Ax – b|l² by specifying the matrix A and the vector b, and then solve the associated problem. (1) f(x) (2x, - x, + 1) + (x, – x,)* + (x3 – 1)² 3 (2) f(x) = (1– x,}° + ; – x}

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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There are two functions are listed below.
In each problem, write the problem min, f(x) as a linear least-squares problem min, ||4x – b||² by
specifying the matrix A and the vector b, and then solve the associated problem.
(1) f(x) = (2x, -x, + 1)' + (x, - x3)² + (x, – 1)²
3
(2) f(x) = (1–x,)* +[(x; – x;=1)*
Transcribed Image Text:There are two functions are listed below. In each problem, write the problem min, f(x) as a linear least-squares problem min, ||4x – b||² by specifying the matrix A and the vector b, and then solve the associated problem. (1) f(x) = (2x, -x, + 1)' + (x, - x3)² + (x, – 1)² 3 (2) f(x) = (1–x,)* +[(x; – x;=1)*
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