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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

Perron-Frobenius theorem on general real symmetric matrices

Configuration shift to change the rank of a Gram matrix

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

Configuration shift for determination of a true dimensionality

Simplifying some operations on Gram matrices

Constructing the origin position by transforming distance information

Manipulating a generalized eigenvector problem to plain eigenvector problem

High-dimensional representation of arbitrary input

Positive semi-definiteness of a (symmetric) matrix

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

3D to 2D projections, a generalization

Spectral decomposition with eigenvalue shift

2D Jacobi line maintenance?

Optimality criterion of PCA via recovered distances

Recovering coordinates by eigendecomposition without double-centering

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

Handling inconsistent solutions obtained by PCA

What does “Counting algebraic multiplicity” mean?

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

Proof continuation for rigid transformation on PCA solution

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