000			02218nam a22003498i 4500
001			CR9780511691713
003			UkCbUP
005			20200124160236.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100219s2010||||enk o ||1 0|eng|d
020			_a9780511691713 (ebook)
020			_z9780521194082 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA188 _b.P556 2010
082	0	0	_a512.9/434 _222
100	1		_aPinkus, Allan, _d1946- _eauthor.
245	1	0	_aTotally positive matrices / _cAllan Pinkus.
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (xi, 182 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v181
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Basic properties of totally positive and strictly totally positive matrices -- 2. Criteria for total positivity and strict total positivity -- 3. Variation diminishing -- 4. Examples -- 5. Eigenvalues and eigenvectors -- 6. Factorizations of totally positive matrices.
520			_aTotally positive matrices constitute a particular class of matrices, the study of which was initiated by analysts because of its many applications in diverse areas. This account of the subject is comprehensive and thorough, with careful treatment of the central properties of totally positive matrices, full proofs and a complete bibliography. The history of the subject is also described: in particular, the book ends with a tribute to the four people who have made the most notable contributions to the history of total positivity: I. J. Schoenberg, M. G. Krein, F. R. Gantmacher and S. Karlin. This monograph will appeal to those with an interest in matrix theory, to those who use or have used total positivity, and to anyone who wishes to learn about this rich and interesting subject.
650		0	_aMatrices.
776	0	8	_iPrint version: _z9780521194082
830		0	_aCambridge tracts in mathematics ; _v181.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511691713
999			_c518100 _d518098