@article{RO_1999__33_4_569_0, author = {Beninel, Farid}, title = {Dissimilarit\'es de type sph\'erique et positionnement multidimensionnel norm\'e}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {569--581}, publisher = {EDP-Sciences}, volume = {33}, number = {4}, year = {1999}, mrnumber = {1735452}, zbl = {1163.62334}, language = {fr}, url = {http://archive.numdam.org/item/RO_1999__33_4_569_0/} }
TY - JOUR AU - Beninel, Farid TI - Dissimilarités de type sphérique et positionnement multidimensionnel normé JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 1999 SP - 569 EP - 581 VL - 33 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/item/RO_1999__33_4_569_0/ LA - fr ID - RO_1999__33_4_569_0 ER -
%0 Journal Article %A Beninel, Farid %T Dissimilarités de type sphérique et positionnement multidimensionnel normé %J RAIRO - Operations Research - Recherche Opérationnelle %D 1999 %P 569-581 %V 33 %N 4 %I EDP-Sciences %U http://archive.numdam.org/item/RO_1999__33_4_569_0/ %G fr %F RO_1999__33_4_569_0
Beninel, Farid. Dissimilarités de type sphérique et positionnement multidimensionnel normé. RAIRO - Operations Research - Recherche Opérationnelle, Tome 33 (1999) no. 4, pp. 569-581. http://archive.numdam.org/item/RO_1999__33_4_569_0/
[1] Distances of spherical type, Distancia 92-Rennes- France, S. Joly et G. Le Calvé, Eds., 1990.
,[2] Problèmes de représentations sphériques des tableaux de dis similarité, Thèse de doctorat, Université Rennes I, 1987.
,[3] Theory and Applications of Distance geometry, Clarendon Press, Oxford, 1953. | MR | Zbl
,[4] Inverses généralisés de matrices, définitions et propriétés, Cahier du groupe de mathématiques économiques, Univ. Paris-I, 1980, 3.
, et ,[5] PROXSCAL: A Multidimensional Scaling Program for individual Differences Scaling with constraints, Rapport Technique, Department of Data Theory, Leiden University, Holland, 1996.
, et ,[6] The analytical solution of the additive constant problem, Psychometrika, 1983, 48, n° 2, p. 305-308. | MR | Zbl
,[7] On certain linear mappings between inner-product and squared-distance matrices, Linear Algebra Appl., 1988, 105, p. 91-107. | MR | Zbl
,[8] On (Super-)Spherical distance matrices and two results from Schoenberg, Linear Algebra and its applications, 1997, 251, p. 145-165. | MR | Zbl
et ,[9] Theory of multidimensional scaling, P. R. Krishnaiah et L. N. Kanal, Eds., Handbook of statistics, Vol. 2, Amsterdam: North-Holland company, 1982. | MR | Zbl
et ,[10] The approximation of one matrix by another of lower rank, Psychometrika, 1936, 1, p. 211-218. | JFM
et ,[11] Structure géométrique des principaux indices de dissimilarité sur signes de présence-absence, Statist. Anal Données, 1984, 9, p. 11-44. | Numdam | MR | Zbl
et ,[12] Une présentation globale de l'analyse factorielle des correspondances pour diverses métriques, Thèse de doctorat de l'université de Provence, 1984.
,[13] Euclidean distance geometry, Math. Scientist, 1982, 7, p.1-14. | MR | Zbl
,[14] How to use SMACOF-I, Rapport de recherches, Departement of data theory, University of Leiden, Holland, 1977.
et ,[15] Étude des puissances d'une distance, Statist. Anal Données, 1986, 11, p. 30-50. | Numdam | MR | Zbl
et ,[16] Similarities functions, Edwards D., Raum N.E., Eds., Proceedings of COMPSTAT 88, Physica Verlag, Heidelberg, 1988, p. 341-347. | MR | Zbl
,[17] Some boundary conditions for a monotone analysis of symetric matrices, Psychometrika, 1971, 36, p. 195-203. | MR | Zbl
,[18] Stability of lagrangian duality in D.C. optimization, Solution of Multidimensional scaling problem by D.C. algorithms, in "Local and Global Approaches to Nonconvex Optimization", Book Series "Nonconvex Optimization and its Applications", Kluwer Academic Publishers, 1999. | Zbl
, ,[19] Linear statistical inference and its applications, Wiley series in probability and mathematical statistics, 1973. | MR | Zbl
,[20] Remarks to Maurice Frechet article "Sur la définition axiomatique d'une classe d'espaces distanciés vectoriellement applicable sur l'espace de Hubert", Ann. of Math., 1935, 38, p. 724-732. | JFM
,[21] On certain metric spaces arising from Euclidean spaces by change of metric and their embedding in Hilbert space, Ann. of Math., 1937, 38, p. 787-793. | Zbl
,[22] Classification and Dissimilarity Analysis, Springer Verlag, Heidelberg, Lectures Notes in Statistics 93, 1994, p. 341-347. | MR | Zbl
et al.,