@inbook{a7bd8db0cb2e4319a2f4519a3a7df623,

title = "Projectors on Intersections of Subspaces",

abstract = "Let PL denote the orthogonal projector on a subspace L. Two constructions of projectors on intersections of subspaces are given in finite- dimensional spaces. One construction uses the singular value decomposition of PLPM to give an explicit formula for PL⋂M. The other construction uses the result that the intersection of m ≥ 2 subspaces, L1 ⋂ L2 ⋂ … ⋂Lm, is the null-space of the matrix Q := Σmi=1 λi (I − PLi), for any positive coefficients {λi}. The projector PL1 ⋂ L2 ⋂ … ⋂Lm can then be given in terms of the Moore- Penrose inverse of Q, or as the limit, as t → ∞, of the exponential function exp{−Qt}.",

author = "Adi Ben-Israel",

note = "Publisher Copyright: {\textcopyright} 2015 A. Ben-Israel.",

year = "2015",

doi = "10.1090/conm/636/12727",

language = "English (US)",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "41--50",

booktitle = "Contemporary Mathematics",

address = "United States",

}