1. Formulate the following problem as least squares problems. For each problem, give a matrix A and a vector b such that the problem can be expressed as argmin |lAx - bllz (you are not asked to solve...
Formulate the following problems as least-squares problems. For each problem, give a matrix A and a vector b, such that the problem can be expressed as minimize IAx-bi (You do not have to solve the problems.) (a) Minimize x1+ 2x + 3x[+ (x,-x2 + x3-1)2 + (-ri-4x2 + 2)2. (b) Minimize (-6r2 4)43r228r2-3)2 (e) Minimize 2(-6x2+ 4)2 + 3(-4x1 +3x2-1尸+4(x1 + 8x2-3)2. 1+(-i - 4r2 +2)2
Formulate the following problems as least-squares problems. For each problem, give a matrix A...
Formulate the following problems as linear programs. (a) Minimize llAr-blli subject to ll a) Minimize |A 1. (b) Minimize llal|1 subject to llAr -bllo 1. (c) Minimize |A-o In each problem, assume A Rixn and b E R" are given
Formulate the following problems as linear programs. (a) Minimize llAr-blli subject to ll a) Minimize |A 1. (b) Minimize llal|1 subject to llAr -bllo 1. (c) Minimize |A-o In each problem, assume A Rixn and b E R" are given