Products of stochastic matrices and applications.
Professor Haruo Yanai and multivariate analysis
The late Professor Yanai has contributed to many fields ranging from aptitude diagnostics, epidemiology, and nursing to psychometrics and statistics. This paper reviews some of his accomplishments in multivariate analysis through his collaborative work with the present author, along with some untold episodes for the inception of key ideas underlying the work. The various topics covered include constrained principal component analysis, extensions of Khatri’s lemma, theWedderburn-Guttman theorem,...
Proof of the alternating sign matrix conjecture.
Pseudoinverse formulation of Rayleigh-Schrödinger perturbation theory for the symmetric matrix eigenvalue problem.
Pseudo-orthogonal polynomials.
Pseudo-similarity and partial unit regularity