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Titolo:
COMPUTATION OF ALL EIGENVALUES OF MATRICES USED IN RESTRICTED MAXIMUM-LIKELIHOOD-ESTIMATION OF VARIANCE-COMPONENTS USING SPARSE-MATRIX TECHNIQUES
Autore:
ROBERT C; DUCROCQ V;
Indirizzi:
INRA,CTR RECH JOUY EN JOSAS,GENET QUANTITAT & APPL STN F-78352 JOUY EN JOSAS FRANCE
Titolo Testata:
Genetics selection evolution
fascicolo: 1, volume: 28, anno: 1996,
pagine: 51 - 65
SICI:
0999-193X(1996)28:1<51:COAEOM>2.0.ZU;2-G
Fonte:
ISI
Lingua:
ENG
Soggetto:
GENETIC-PARAMETERS; BREEDING VALUES; ANIMAL-MODEL; MIXED MODEL; PREDICTION; INVERSION; TRAITS;
Keywords:
LANCZOS METHOD; SPARSE MATRIX; RESTRICTED MAXIMUM LIKELIHOOD; EIGENVALUE;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
31
Recensione:
Indirizzi per estratti:
Citazione:
C. Robert e V. Ducrocq, "COMPUTATION OF ALL EIGENVALUES OF MATRICES USED IN RESTRICTED MAXIMUM-LIKELIHOOD-ESTIMATION OF VARIANCE-COMPONENTS USING SPARSE-MATRIX TECHNIQUES", Genetics selection evolution, 28(1), 1996, pp. 51-65

Abstract

Restricted maximum likelihood (REML) estimates oi variance componentshave desirable properties but can be very expensive computationally. Large costs result from the need for the repeated inversion of the large coefficient matrix of tile mixed-model equations. This paper presents a method based on tile computation of all eigenvalues using the Lanczos method, a technique reducing a large sparse symmetric matrix to atridiagonal form. Dense matrix inversion is not required. It is accurate and nut very demanding on storage requirements. The Lanczos method, the computation of eigenvalues, its application in a genetic context, and an example are presented.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 04/12/20 alle ore 22:48:07