000			02224nam a22003618i 4500
001			CR9780511526473
003			UkCbUP
005			20200124160234.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090407s1990||||enk o ||1 0|eng|d
020			_a9780511526473 (ebook)
020			_z9780521331968 (hardback)
020			_z9780521102148 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA297.75 _b.N49 1990
082	0	0	_a519.4 _220
100	1		_aNeumaier, A., _eauthor.
245	1	0	_aInterval methods for systems of equations / _cArnold Neumaier.
264		1	_aCambridge : _bCambridge University Press, _c1990.
300			_a1 online resource (xvi, 255 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 37
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aAn interval is a natural way of specifying a number that is specified only within certain tolerances. Interval analysis consists of the tools and methods needed to solve linear and nonlinear systems of equations in the presence of data uncertainties. Applications include the sensitivity analysis of solutions of equations depending on parameters, the solution of global nonlinear problems, and the verification of results obtained by finite-precision arithmetic. In this book emphasis is laid on those aspects of the theory which are useful in actual computations. On the other hand, the theory is developed with full mathematical rigour. In order to keep the book self-contained, various results from linear algebra (Perron-Frobenius theory, M- and H- matrices) and analysis (existence of solutions to nonlinear systems) are proved, often from a novel and more general viewpoint. An extensive bibliography is included.
650		0	_aInterval analysis (Mathematics)
650		0	_aEquations _xNumerical solutions.
776	0	8	_iPrint version: _z9780521331968
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 37.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511526473
999			_c517887 _d517885