On Generalizations of Cochran's Theorem and Projection Matrices.

Abstract

Generalizations of Cochran's theorem including (i) nonsymmetric matrices and (ii) r-potent matrices are proved by consistent use of projection matrices. Decomposition of diagonalizable matrices into projections to eigenspaces (or spectral decomposition) and its relation to Cochran-type decomposition are studied. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA092595

Entities

People

  • Akimichi Takemura

Organizations

  • Stanford University

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Communities of Interest

  • Materials and Manufacturing Processes

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  • Algebra
  • Analysis Of Variance
  • Confidence Limits
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  • Maximum Likelihood Estimation
  • Military Research
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Fields of Study

  • Mathematics

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  • Linear Algebra