Let A = (aij) be an n x n matrix defined by aij = aji = i, i = 1,...,n. This paper gives some elementary properties of A and other related matrices. The eigenstructure of A is conjectured: given an eigenvector v of A the remaining eigenvectors are obtained by permuting up to sign the components of v. This problem arises in a distance based method applied to non linear regression.
@article{urn:eudml:doc:40313,
title = {An eigenvector pattern arising in non linear regression.},
journal = {Q\"uestii\'o},
volume = {14},
year = {1990},
pages = {89-95},
mrnumber = {MR1114051},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40313}
}
Cuadras, Carles Maria. An eigenvector pattern arising in non linear regression.. Qüestiió, Tome 14 (1990) pp. 89-95. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40313/