List questions from least-squares

Published on 27 Mar 2026 - 15:05

94

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Show that $\|b \|^2\ (\sin\theta)^2 = \min_x\ \|ax-b\|^2$ where $\theta$ is the angle between $a,\ b$.

Published on 27 Mar 2026 - 16:47

577

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Least squares solutions of matrices with redundant columns?

Published on 13 Apr 2026 - 12:23

77

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Ant farm population function model.

Published on 27 Mar 2026 - 11:44

66

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Identifying an unknown function in an exponential function

Published on 27 Mar 2026 - 11:44

70

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How to formulate $\min \|X-z^T\mathbf{1}^T\|$ as a least-squares problem?

Published on 17 Apr 2026 - 3:14

369

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How to minimize $\Vert Ax \Vert$ subject to $\hat{b}^Tx=0$ and $\Vert x \Vert = 1$?

Published on 10 May 2026 - 19:51

708

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Proof of convexity of linear least squares with convexity properties

Published on 12 Apr 2026 - 9:53

760

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Variance of normal distributed least squares estimation

Published on 15 Apr 2026 - 16:37

59

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Can this be solved with Least Squares?

Published on 10 May 2026 - 15:43

179

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Preconditioning the Damped Normal Equations - Reference

Published on 10 May 2026 - 13:45

4.7k

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Matrix inversion to solve least squares problem

Published on 15 Apr 2026 - 5:49

84

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Minimisation of $||Dx||^2$ with constraint $Ax = y$

Published on 10 Apr 2026 - 23:33

1.8k

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Minimum variance estimator Maximum likelihood (ML) vs Least Squares

Published on 15 Apr 2026 - 2:07

246

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Why does solving $A^{\rm T}Ax = A^{\rm T}b$ yield a least squares approximation?

Published on 16 Apr 2026 - 15:24

List Question

Design a nonlinear least squares function with multiple local minima

Show that $\|b \|^2\ (\sin\theta)^2 = \min_x\ \|ax-b\|^2$ where $\theta$ is the angle between $a,\ b$.

Least squares solutions of matrices with redundant columns?

Ant farm population function model.

Identifying an unknown function in an exponential function

How to formulate $\min \|X-z^T\mathbf{1}^T\|$ as a least-squares problem?

How to minimize $\Vert Ax \Vert$ subject to $\hat{b}^Tx=0$ and $\Vert x \Vert = 1$?

Proof of convexity of linear least squares with convexity properties

Variance of normal distributed least squares estimation

Can this be solved with Least Squares?

Preconditioning the Damped Normal Equations - Reference

Matrix inversion to solve least squares problem

Minimisation of $||Dx||^2$ with constraint $Ax = y$

Minimum variance estimator Maximum likelihood (ML) vs Least Squares

Why does solving $A^{\rm T}Ax = A^{\rm T}b$ yield a least squares approximation?

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