gsisvdsolve: Internal function: Solves singular and non square equation...

In compositions: Compositional Data Analysis

Internal function: Solves singular and non square equation systems

Description

Based on the singular value decomposition, a singular equation system ax=b is solved.

Usage

gsi.svdsolve(a,b,...,cond=1E-10)

Arguments

a	the matrix of ax=b (a.k.a. left-hand side matrix)
b	the vector or matrix b of ax=b (a.k.a right-hand side, independent element)
cond	the smallest-acceptable condition of the matrix. Smaller singular values are truncate
...	additional arguments to svd

Value

The "smallest" vector or matrix solving this system with minimal joint error among all vectors.

Note

Do not use gsi.* functions directly since they are internal functions of the package

Author(s)

K.Gerald v.d. Boogaart http://www.stat.boogaart.de

Examples

#A <- matrix(c(0,1,0,0,0,0),ncol=2)
#b <- diag(3)
#erg <- gsi.svdsolve(A,b)
#erg
#A %*% erg 
#diag(c(0,1,0))  # richtig

compositions documentation built on April 14, 2023, 12:26 a.m.