Geodesic
Copositive matrices
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 8, pp. 1253-1279 Cet article a éte moissonné depuis la source Math-Net.Ru

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Kh. D. Ikramov; N. V. Savel'eva. Copositive matrices. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 8, pp. 1253-1279. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_8_a0/

[1] Sukharev A. G., Timokhov A. V., Fedorov V. V., Kurs metodov optimizatsii, Nauka, M., 1986 | MR | Zbl

[2] Nadler E., “Nonnegativity of bivariate functions on a triangle”, Comput. Aided Geom. Design., 9 (1992), 195–205 | DOI | MR | Zbl

[3] Chang G., Sederberg T. W., “Nonnegative quadratic Bezier triangular patches”, Comput. Aided Geom. Design., 11 (1994), 113–116 | DOI | MR | Zbl

[4] Hadeler K. P., “On copositive matrices”, Linear Algebra and Appl., 49 (1983), 79–89 | DOI | MR | Zbl

[5] Ikramov Kh. D., Saveleva H. V., “Kompyuterno-algebraicheskie protsedury dlya proverki matrichnogo svoistva znakoopredelennosti na podprostranstve”, Zh. vychisl. matem. i matem. fiz., 39:3 (1999), 357–370 | MR

[6] Ikramov Kh. D., Chislennye metody dlya simmetrichnykh lineinykh sistem, Nauka, M., 1988 | MR

[7] Gantmakher F. R., Teoriya matrits, Nauka, M., 1966 | MR

[8] Diananda P. H., “On non-negative forms in real variables some or all of which are non-negative”, Proc. Cambridge Philos. Soc., 58 (1962), 17–25 | DOI | MR | Zbl

[9] Kholl M., Kombinatorika, Mir, M., 1970 | MR

[10] Haynsworth E., Hoffman A. J., “Two remarks on copositive matrices”, Linear Algebra and Appl., 2 (1969), 387–392 | DOI | MR | Zbl

[11] Väliaho H., “Criteria for copositive matrices”, Linear Algebra and Appl., 81 (1986), 19–34 | DOI | MR

[12] Keller E. L., Quadratic optimization and linear complementarity, Ph.D. Thesis, Univ. of Michigan, Ann Arbor, 1969 | MR

[13] Motzkin T. S., “Sign of minors”, Inequalities, Acad. Press, New York, 1967, 225–240 | MR

[14] Murty K. G., Kabadi S. N., “Some NP-complete problems in quadratic and nonlinear programming”, Math. Program., 39 (1987), 117–129 | DOI | MR | Zbl

[15] Kreps V. L., “O kvadratichnykh formakh, neotritsatelnykh na ortante”, Zh. vychisl. matem. i matem. fiz., 24:4 (1984), 497–503 | MR | Zbl

[16] Li P., Feng Y. Y., “Criteria for copositive matrices of order four”, Linear Algebra and Appl., 194 (1993), 109–124 | DOI | MR | Zbl

[17] Andersson L.-E., Chang G., Elfving T., “Criteria for copositive matrices using simplices and barycentric coordinates”, Linear Algebra and Appl., 220 (1995), 9–30 | DOI | MR | Zbl