What question did this study set out to answer?

To explore the approximation of a matrix by another of lower rank and its solution characteristics.

September 1, 1936Psychometrika

The Approximation of One Matrix by Another of Lower Rank

View Full Paper

Ask AI

Bookmark

Authors

Randomized trial demonstrates unique solutions in matrix approximation problems, suggesting new insights into factor theory.

To explore the approximation of a matrix by another of lower rank and its solution characteristics.
Formulated as a least-squares problem
Expressed matrices in canonic form
Analyzed solutions for uniqueness
The problem has a solution that is usually unique
Canonic components provide insights into score matrices
Conclusions drawn from the form of the solution

Eckart et al. (1936) studied this question.

View Full Paper

Ask AI

Bookmark