论文信息 - On a theorem stated by eckart and young

On a theorem stated by eckart and young

Proof is given for a theorem stated but not proved by Eckart and Young in 1936, which has assumed considerable importance in the theory of lower-rank approximations to matrices, particularly in factor analysis.

R. M. Johnson

[1] R. Courant,et al. Methoden der mathematischen Physik , .

[2] C. C. Macduffee,et al. The Theory of Matrices , 1933 .

[3] C. Eckart,et al. The approximation of one matrix by another of lower rank , 1936 .

[4] Joseph B. Keller,et al. Factorization of matrices by least-squares , 1962 .

[5] P. Horst. Matrix Algebra for Social Scientists , 1964 .