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13 votes

3 answers

10k views

Understanding the "rate of convergence" for iterative methods

iterative-method convergence

asked Nov 28, 2012 at 18:17

11 votes

1 answer

920 views

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

asked Apr 27, 2012 at 9:20

11 votes

4 answers

3k views

Finding the square root of a Laplacian matrix

linear-algebra matrix eigensystem

asked Apr 9, 2012 at 9:56

10 votes

2 answers

1k views

Safe application of iterative methods on diagonally dominant matrices

linear-algebra optimization iterative-method matrix linear-solver

asked Mar 3, 2012 at 14:36

10 votes

3 answers

10k views

Gershgorin Circle Theorem to estimate the eigenvalues

linear-algebra matrix eigensystem

asked Mar 29, 2012 at 13:06

7 votes

1 answer

699 views

Jacobi iteration to reduce the quadratic function

linear-algebra optimization iterative-method matrix

asked Mar 1, 2012 at 9:24

6 votes

3 answers

1k views

Eigenvectors with the Power Iteration

linear-algebra matrix eigensystem iterative-method

asked Oct 2, 2012 at 13:20

5 votes

1 answer

141 views

Configuration shift to change the rank of a Gram matrix

linear-algebra matrix high-dimensional

asked Oct 9, 2012 at 17:54

5 votes

0 answers

749 views

Perron-Frobenius theorem on general real symmetric matrices

linear-algebra matrix eigensystem

asked Apr 5, 2012 at 9:36

4 votes

1 answer

135 views

Constructing the origin position by transforming distance information

linear-algebra matrix high-dimensional

asked Apr 16, 2012 at 8:08

4 votes

2 answers

158 views

Simplifying some operations on Gram matrices

linear-algebra optimization matrix

asked May 1, 2012 at 8:17

4 votes

1 answer

5k views

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

linear-algebra matrix eigensystem

asked Oct 11, 2012 at 10:27

4 votes

1 answer

56 views

Configuration shift for determination of a true dimensionality

linear-algebra matrix

asked Oct 30, 2012 at 11:00

3 votes

1 answer

239 views

Manipulating a generalized eigenvector problem to plain eigenvector problem

linear-algebra matrix eigensystem

asked Oct 3, 2012 at 16:59

3 votes

2 answers

272 views

Positive semi-definiteness of a (symmetric) matrix

linear-algebra matrix eigensystem

asked Aug 6, 2012 at 8:37

3 votes

1 answer

96 views

High-dimensional representation of arbitrary input

linear-algebra matrix high-dimensional

asked Aug 15, 2012 at 12:25

3 votes

1 answer

277 views

3D to 2D projections, a generalization

linear-algebra matrix high-dimensional

asked May 9, 2012 at 12:33

3 votes

1 answer

2k views

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

linear-algebra matrix computational-geometry geometry

asked May 18, 2012 at 8:28

3 votes

1 answer

71 views

2D Jacobi line maintenance?

linear-algebra optimization computational-geometry linear-solver

asked Mar 7, 2012 at 17:43

3 votes

1 answer

997 views

Spectral decomposition with eigenvalue shift

linear-algebra matrix eigensystem

asked Mar 20, 2012 at 14:36

2 votes

1 answer

255 views

Proof continuation for rigid transformation on PCA solution

linear-algebra matrix eigensystem high-dimensional

asked Apr 2, 2012 at 7:06

2 votes

2 answers

136 views

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

matrix computational-geometry high-dimensional machine-learning geometry

asked Jul 5, 2012 at 20:12

2 votes

2 answers

2k views

What does "Counting algebraic multiplicity" mean?

linear-algebra matrix eigensystem

asked Jul 13, 2012 at 9:46

2 votes

2 answers

169 views

Handling inconsistent solutions obtained by PCA

linear-algebra matrix high-dimensional machine-learning

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

linear-algebra matrix linear-solver iterative-method

asked Sep 11, 2012 at 17:10

2 votes

1 answer

197 views

Recovering coordinates by eigendecomposition without double-centering

linear-algebra matrix computational-geometry high-dimensional

asked Sep 17, 2012 at 11:26

2 votes

1 answer

84 views

Optimality criterion of PCA via recovered distances

linear-algebra matrix machine-learning high-dimensional

asked Dec 14, 2012 at 16:04

1 vote

0 answers

28 views

PCA performed on a configuration with scaled axes

linear-algebra matrix high-dimensional

asked Dec 26, 2012 at 18:42

1 vote

1 answer

93 views

Existence of a solution at a stationary equation for quadratics

linear-algebra optimization matrix convex-optimization

asked Nov 15, 2012 at 13:32

1 vote

2 answers

165 views

Affecting the rank of a Gram matrix by configuration shift

linear-algebra matrix

asked Oct 27, 2012 at 14:45

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36 Questions

Understanding the "rate of convergence" for iterative methods

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

Finding the square root of a Laplacian matrix

Safe application of iterative methods on diagonally dominant matrices

Gershgorin Circle Theorem to estimate the eigenvalues

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

Constructing the origin position by transforming distance information

Simplifying some operations on Gram matrices

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?

Spectral decomposition with eigenvalue shift

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