Geodesic
Partially approximate systems of linear algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 6, pp. 790-798 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. S. Mechenov. Partially approximate systems of linear algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 6, pp. 790-798. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_6_a1/

[1] Gauss K. F., Theoria motus corporum coelestium in sectioninus copecis solem ambientium, Hamburgi, 1809 ; Gauss K. F., Izbrannye geodezicheskie sochineniya, v. 1, Izd-vo geodez. lit., M., 1957

[2] Aitken A. C., “On least and linear combination of observations”, Proc. Roy. Soc. Edinburgh, 55 (1935), 42

[3] Pearson K., “On lines and planes closest fit to systems of points in space”, Philos. Mag. Ser. 6, 2 (1901), 559 | DOI

[4] Mechenov A. S., Regulyarizovannyi metod naimenshikh kvadratov, Izd-vo MGU, M., 1988 | Zbl

[5] Shikin E. V., Lineinye prostranstva i otobrazheniya, Izd-vo MGU, M., 1987 | MR | Zbl

[6] Ivanov V. K., “O lineinykh nekorrektnykh zadachakh”, Dokl. AN SSSR, 145:2 (1962), 270–272 | MR | Zbl

[7] Kryanev A. V., “Statisticheskaya forma regulyarizovannogo metoda naimenshikh kvadratov A. N. Tikhonova”, Dokl. AN SSSR, 291:4 (1986), 780–785 | MR

[8] Tikhonov A. N., “O nekorrektnykh zadachakh lineinoi algebry i ustoichivykh metodakh ikh resheniya”, Dokl. AN SSSR, 163:3 (1985), 591

[9] Tikhonov A. N., “Ob ustoichivosti algoritmov dlya resheniya vyrozhdennykh sistem lineinykh algebraicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 5:4 (1965), 718–722 | Zbl

[10] Tikhonov A. N., “Ob odnom printsipe vzaimnosti”, Dokl. AN SSSR, 253:2 (1980), 302–308 | MR

[11] Tikhonov A. N., “O normalnykh resheniyakh priblizhennykh sistem lineinykh algebraicheskikh uravnenii”, Dokl. AN SSSR, 254:3 (1980), 549–552 | MR

[12] Tikhonov A. N., “O priblizhennykh sistemakh lineinykh algebraicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 20:6 (1980), 1373–1383 | MR | Zbl

[13] Tikhonov A. N., “O zadachakh s netochno zadannoi iskhodnoi informatsiei”, Dokl. AN SSSR, 280:3 (1985), 559–562 | MR | Zbl

[14] Lindley D. V., “Regression lines and the linear functional relationship”, J. Roy. Statist. Soc., 9:1–2, Suppl. (1947), 218 | MR | Zbl

[15] Kendall M., Styuart A., Statisticheskie vyvody i svyazi, Nauka, M., 1973 | Zbl