title: Numericware N: Numerator Relationship Matrix Calculator.
abstract: We present the generalized numerator relationship matrix (GNRM) algorithm and Numericware N as a software tool for calculating the numerator relationship matrix (NRM). The GNRM algorithm aims to build the NRM based on plant pedigrees. Customary plant pedigrees have a sparse format representing multiple ancestors and offspring. Applying the existing NRM algorithm to plant pedigrees requires transforming the pedigree statements from sparse (multi-founders to offspring) to dense (bi-parents to offspring). The GNRM algorithm enables the computation of the NRM using sparse pedigrees. Because sparse pedigrees can be used, Numericware N produces smaller dimensions of the NRM, thus making computing time much faster. Moreover, Numericware N enables expansion of identical by state (IBS) matrix for scheduled pedigrees, which allows prediction of IBS matrix.
authors.affiliation: From the Department of Agronomy, Iowa State University, Ames, IA 50011 (Kim and Beavis); and INRES-Plant Breeding, University of Bonn, Katzenburgweg 5, 53115 Bonn, Germany (Léon). bkim@noble.org.
authors.forename: Bongsong
authors.initials: B
authors.lastname: Kim
authors.affiliation: From the Department of Agronomy, Iowa State University, Ames, IA 50011 (Kim and Beavis); and INRES-Plant Breeding, University of Bonn, Katzenburgweg 5, 53115 Bonn, Germany (Léon).
authors.forename: William D
authors.initials: WD
authors.lastname: Beavis
authors.affiliation: From the Department of Agronomy, Iowa State University, Ames, IA 50011 (Kim and Beavis); and INRES-Plant Breeding, University of Bonn, Katzenburgweg 5, 53115 Bonn, Germany (Léon).
authors.forename: Jens
authors.initials: J
authors.lastname: Léon
mesh_terms: D000465:Algorithms; D019295:Computational Biology / Q000379:methods*; D008957:Models, Genetic; D010375:Pedigree; D012984:Software
keywords: Numericware N; identical by descent coefficient; identical by state coefficient; kinship coefficient; numerator relationship matrix