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13 votes

3 answers

10k views

Understanding the "rate of convergence" for iterative methods

asked Nov 28, 2012 at 18:17

12 votes

4 answers

3k views

Finding the square root of a Laplacian matrix

asked Apr 9, 2012 at 9:56

11 votes

1 answer

998 views

Projecting out the null-space of $A$ from $b$ in $Ax=b$

asked Apr 27, 2012 at 9:20

11 votes

3 answers

10k views

Gershgorin Circle Theorem to estimate the eigenvalues

asked Mar 29, 2012 at 13:06

10 votes

2 answers

2k views

Safe application of iterative methods on diagonally dominant matrices

asked Mar 3, 2012 at 14:36

7 votes

1 answer

758 views

Jacobi iteration to reduce the quadratic function

asked Mar 1, 2012 at 9:24

6 votes

3 answers

1k views

Eigenvectors with the Power Iteration

asked Oct 2, 2012 at 13:20

5 votes

1 answer

150 views

Configuration shift to change the rank of a Gram matrix

asked Oct 9, 2012 at 17:54

5 votes

0 answers

775 views

Perron-Frobenius theorem on general real symmetric matrices

asked Apr 5, 2012 at 9:36

4 votes

1 answer

1k views

Spectral decomposition with eigenvalue shift

asked Mar 20, 2012 at 14:36

4 votes

2 answers

164 views

Simplifying some operations on Gram matrices

asked May 1, 2012 at 8:17

4 votes

1 answer

146 views

Constructing the origin position by transforming distance information

asked Apr 16, 2012 at 8:08

4 votes

1 answer

5k views

Power Iteration on general matrices (with higher multiplicity of dominant eigenvalue)

asked Oct 11, 2012 at 10:27

4 votes

1 answer

59 views

Configuration shift for determination of a true dimensionality

asked Oct 30, 2012 at 11:00

3 votes

1 answer

242 views

Manipulating a generalized eigenvector problem to plain eigenvector problem

asked Oct 3, 2012 at 16:59

3 votes

2 answers

306 views

Positive semi-definiteness of a (symmetric) matrix

asked Aug 6, 2012 at 8:37

3 votes

1 answer

98 views

High-dimensional representation of arbitrary input

asked Aug 15, 2012 at 12:25

3 votes

1 answer

371 views

3D to 2D projections, a generalization

asked May 9, 2012 at 12:33

3 votes

1 answer

2k views

Application of an orthogonal matrix to a 3D configuration of point

asked May 18, 2012 at 8:28

3 votes

1 answer

74 views

2D Jacobi line maintenance?

asked Mar 7, 2012 at 17:43

2 votes

1 answer

264 views

Proof continuation for rigid transformation on PCA solution

asked Apr 2, 2012 at 7:06

2 votes

2 answers

141 views

A sufficient number of distances to recover relative positions of n points

asked Jul 5, 2012 at 20:12

2 votes

2 answers

2k views

What does "Counting algebraic multiplicity" mean?

asked Jul 13, 2012 at 9:46

2 votes

2 answers

186 views

Handling inconsistent solutions obtained by PCA

asked Aug 2, 2012 at 11:54

2 votes

3 answers

1k views

Convergence of the gradient descent and linear vs non-linear fixed point iteration

asked Sep 11, 2012 at 17:10

2 votes

1 answer

201 views

Recovering coordinates by eigendecomposition without double-centering

asked Sep 17, 2012 at 11:26

2 votes

1 answer

86 views

Optimality criterion of PCA via recovered distances

asked Dec 14, 2012 at 16:04

1 vote

0 answers

29 views

PCA performed on a configuration with scaled axes

asked Dec 26, 2012 at 18:42

1 vote

1 answer

95 views

Existence of a solution at a stationary equation for quadratics

asked Nov 15, 2012 at 13:32

1 vote

2 answers

175 views

Affecting the rank of a Gram matrix by configuration shift

asked Oct 27, 2012 at 14:45

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36 Questions

Understanding the "rate of convergence" for iterative methods

Finding the square root of a Laplacian matrix

Projecting out the null-space of $A$ from $b$ in $Ax=b$

Gershgorin Circle Theorem to estimate the eigenvalues

Safe application of iterative methods on diagonally dominant matrices

Jacobi iteration to reduce the quadratic function

Eigenvectors with the Power Iteration

Configuration shift to change the rank of a Gram matrix

Perron-Frobenius theorem on general real symmetric matrices

Spectral decomposition with eigenvalue shift

Simplifying some operations on Gram matrices

Constructing the origin position by transforming distance information

Power Iteration on general matrices (with higher multiplicity of dominant eigenvalue)

Configuration shift for determination of a true dimensionality

Manipulating a generalized eigenvector problem to plain eigenvector problem

Positive semi-definiteness of a (symmetric) matrix

High-dimensional representation of arbitrary input

3D to 2D projections, a generalization

Application of an orthogonal matrix to a 3D configuration of point

2D Jacobi line maintenance?

Proof continuation for rigid transformation on PCA solution

A sufficient number of distances to recover relative positions of n points

What does "Counting algebraic multiplicity" mean?

Handling inconsistent solutions obtained by PCA

Convergence of the gradient descent and linear vs non-linear fixed point iteration

Recovering coordinates by eigendecomposition without double-centering

Optimality criterion of PCA via recovered distances

PCA performed on a configuration with scaled axes

Existence of a solution at a stationary equation for quadratics

Affecting the rank of a Gram matrix by configuration shift