Movatterモバイル変換


[0]ホーム

URL:


×

zbMATH Open — the first resource for mathematics

from until
Reset all

Examples

GeometrySearch for the termGeometry inany field. Queries arecase-independent.
Funct*Wildcard queries are specified by* (e .g.functions,functorial, etc.). Otherwise the search isexact.''Topological group'':Phrases (multi - words) should be set in''straight quotation marks''.
au: Bourbaki & ti: AlgebraSearch forauthorBourbaki andtitleAlgebra. Theand-operator & is default and can be omitted.
Chebyshev | TschebyscheffTheor-operator| allows to search forChebyshev orTschebyscheff.
Quasi* map* py: 1989The resulting documents havepublicationyear1989.
so:Eur* J* Mat* Soc* cc:14Search for publications in a particularsource with aMathematics SubjectClassificationcode in14.
cc:*35 ! any:ellipticSearch for documents about PDEs (prefix with * to search only primary MSC); the not-operator ! eliminates all results containing the wordelliptic.
dt: b & au: HilbertThedocumenttype is set tobooks; alternatively:j forjournal articles,a forbookarticles.
py: 2000 - 2015 cc:(94A | 11T)Numberranges when searching forpublicationyear are accepted . Terms can be grouped within( parentheses).
la: chineseFind documents in a givenlanguage .ISO 639 - 1 (opens in new tab) language codes can also be used.
st: c r sFind documents that arecited, havereferences and are from asingle author.

Fields

ab Text from the summary or review (for phrases use “. ..”)
an zbMATH ID, i.e.: preliminary ID, Zbl number, JFM number, ERAM number
any Includes ab, au, cc, en, rv, so, ti, ut
arxiv arXiv preprint number
au Name(s) of the contributor(s)
br Name of a person with biographic references (to find documents about the life or work)
cc Code from the Mathematics Subject Classification (prefix with* to search only primary MSC)
ci zbMATH ID of a document cited in summary or review
db Database: documents in Zentralblatt für Mathematik/zbMATH Open (db:Zbl), Jahrbuch über die Fortschritte der Mathematik (db:JFM), Crelle's Journal (db:eram), arXiv (db:arxiv)
dt Type of the document: journal article (dt:j), collection article (dt:a), book (dt:b)
doi Digital Object Identifier (DOI)
ed Name of the editor of a book or special issue
en External document ID: DOI, arXiv ID, ISBN, and others
in zbMATH ID of the corresponding issue
la Language (use name, e.g.,la:French, orISO 639-1, e.g.,la:FR)
li External link (URL)
na Number of authors of the document in question. Interval search with “-”
pt Reviewing state: Reviewed (pt:r), Title Only (pt:t), Pending (pt:p), Scanned Review (pt:s)
pu Name of the publisher
py Year of publication. Interval search with “-”
rft Text from the references of a document (for phrases use “...”)
rn Reviewer ID
rv Name or ID of the reviewer
se Serial ID
si swMATH ID of software referred to in a document
so Bibliographical source, e.g., serial title, volume/issue number, page range, year of publication, ISBN, etc.
st State: is cited (st:c), has references (st:r), has single author (st:s)
sw Name of software referred to in a document
ti Title of the document
ut Keywords

Operators

a & bLogical and (default)
a | bLogical or
!abLogical not
abc*Right wildcard
ab cPhrase
(ab c)Term grouping

See also ourGeneral Help.

The complementarity problem.(English)Zbl 0247.90058


MSC:

90C30 Nonlinear programming
15A39 Linear inequalities of matrices

Cite

References:

[1]R.W. Cottle, ”On a problem in linear inequalities,”Journal of the London Mathematical Society 43, 378–384. ·Zbl 0181.04001
[2]R.W. Cottle, ”Nonlinear programs with positively bounded Jacobians,”SIAM Journal of Applied Math. 14, No. 1 (1966) 147–158. ·Zbl 0158.18903 ·doi:10.1137/0114012
[3]R.W. Cottie and G.B. Dantzig. ”Complementary Pivot theory of mathematical programming,”Linear Algebra and its Applications, 1 (1968) pp. 103–125. ·Zbl 0155.28403 ·doi:10.1016/0024-3795(68)90052-9
[4]R.W. Cottle and G.B. Dantzig, ”A generalization of the linear complementarity problem,”Journal of Combinatorial Theory (1969). ·Zbl 0186.23806
[5]R.W. Cottle, A.J. Habetler and C.E. Lemke, ”On classes of copositive matrices,”Linear Algebra and its Applications, to appear. ·Zbl 0196.05602
[6]R.W. Cottle, G.J. Habetler and C.E. Lemke, ”Quadratic forms semidefinite over convex cones,” In:Sixth International Mathematical Programming Symposium. Princeton, 1967 (Princeton University Press, 1971). ·Zbl 0221.15018
[7]G.B. Dantzig and R.W. Cottle, ”Positive (semi) definite programming,” In:Nonlinear programming, Ed. J. Abadie (North-Holland, Amsterdam, 1967). pp. 55–73. ·Zbl 0178.22801
[8]P. DuVal, ”The unloading problem for plane curves,”American Journal of Mathematics, 62 (1940) 307–317. ·JFM 66.0785.03 ·doi:10.2307/2371454
[9]B.C. Eaves, ”The linear complementarity problem in mathematical programming,” Tech. Report No. 69-4, July 1969, O.R. House, Stanford University.
[10]M. Fiedler and V. Ptak, ”Some generalizations of positive definiteness and monotonicity,”Numerische Mathematik 9 (1962) 163–172. ·Zbl 0148.25801 ·doi:10.1007/BF02166034
[11]V.M. Fridman and V.S. Chernina, ”An iteration process for the solution of the finitedimensional contact problem,”U.S.S.R. Computational Math. and Math. Physics 7, No. 1 (1967) 210–214. ·Zbl 0191.15901 ·doi:10.1016/0041-5553(67)90071-7
[12]P. Hartman and G. Stampacchia, ”On some nonlinear differential-functional equations,”Acta Math. 115 (1966) 271–310. ·Zbl 0142.38102 ·doi:10.1007/BF02392210
[13]D. Gale and H. Nikaido, ”The Jacobian matrix and global univalence of mappings,”Mathematische Annalen 159 (1965) 81–93. ·Zbl 0158.04903 ·doi:10.1007/BF01360282
[14]A.W. Ingleton, ”A problem in linear inequalities,”Proceedings of the London Mathematical Society, Third Series, 16 (1966) 519–536. ·Zbl 0166.03005 ·doi:10.1112/plms/s3-16.1.519
[15]S. Kakutani, ”A generalization of Brouwer’s fixed point theorem,”Duke Math. Journal 8 (1941) 457–459. ·Zbl 0061.40304 ·doi:10.1215/S0012-7094-41-00838-4
[16]S. Karamardian, ”Duality in mathematical programming,” ORC 66-2, January 1966. University of California, Berkeley.
[17]S. Karamardian, ”Existence of solutions of certain systems of nonlinear inequalities,”Numerische Mathematik 12 (1968) 327–334. ·Zbl 0167.48203 ·doi:10.1007/BF02162513
[18]S. Karamardian, ”The nonlinear complementarity problem with applications, Part I.”Journal of Optimization Theory and Applications 4, No. 2 (1969) 87–98. ·Zbl 0169.06901 ·doi:10.1007/BF00927414
[19]S. Karamardian, ”The nonlinear complementarity problem with applications, Part II”Journal of Optimization Theory and Applications 4, No. 3 (1969) 167 181. ·Zbl 0169.51302
[20]C.E. Lemke, ”On complementary Pivot theory,”Math. of the Decision Sciences, American Mathematical Society, Eds. G.B. Dantzig and A.F. Veinott, Jr., (1968). ·Zbl 0208.45502
[21]C.E. Lemke, ”Bimatrix equilibrium points and mathematical programming,”Management Science 11 (1965) 681–689. ·Zbl 0139.13103 ·doi:10.1287/mnsc.11.7.681
[22]C.E. Lemke and J.T. Howson, Jr., ”Equilibrium points of bimatrix games,”SIAM Journal 12, No. 2 (1964) 413–423. ·Zbl 0128.14804
[23]J.L. Lions and G. Stampacchia, ”Variational inequalities,”Communications on Pure and Applied Math, 20, No. 3 (1967) 493–519. ·Zbl 0152.34601 ·doi:10.1002/cpa.3160200302
[24]K.G. Murty, ”On the number of solutions to the complementarity problem and spanning properties of complementary cones,” To appear in theJournal of Linear Algebra and its Applications. ·Zbl 0241.90046
[25]H. Samelson, R.M. Thrall and O. Wesler, ”A partition theorem for Euclideann-space,”AMS Proceedings 9 (1958) 805–807. ·Zbl 0117.37901
[26]H. Scarf, ”An algorithm for a class of nonconvex programming problems,” Cowles foundations discussion paper, No. 211, Yale University (July 1966).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
© 2025FIZ Karlsruhe GmbHPrivacy PolicyLegal NoticesTerms & Conditions
  • Mastodon logo
 (opens in new tab)

[8]ページ先頭

©2009-2025 Movatter.jp