Geodesic
The Frobenius formula and Sherman–Morrison formulas and related matters
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1459-1465 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2002_42_10_a0,
     author = {V. N. Maloz\"emov and M. F. Monaco and A. V. Petrov},
     title = {The {Frobenius} formula and {Sherman{\textendash}Morrison} formulas and related matters},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1459--1465},
     year = {2002},
     volume = {42},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a0/}
}
TY  - JOUR
AU  - V. N. Malozëmov
AU  - M. F. Monaco
AU  - A. V. Petrov
TI  - The Frobenius formula and Sherman–Morrison formulas and related matters
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2002
SP  - 1459
EP  - 1465
VL  - 42
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a0/
LA  - ru
ID  - ZVMMF_2002_42_10_a0
ER  - 
%0 Journal Article
%A V. N. Malozëmov
%A M. F. Monaco
%A A. V. Petrov
%T The Frobenius formula and Sherman–Morrison formulas and related matters
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2002
%P 1459-1465
%V 42
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a0/
%G ru
%F ZVMMF_2002_42_10_a0
V. N. Malozëmov; M. F. Monaco; A. V. Petrov. The Frobenius formula and Sherman–Morrison formulas and related matters. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1459-1465. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a0/

[1] Gantmakher F. R., Teoriya matrits, Izd. 2-e, Nauka, M., 1966 | MR

[2] Faddeev D. K., Lektsii po algebre, Nauka, M., 1984 | MR

[3] Hiriart-Urruty J.-B., Lemaréchal C., Convex analysis and minimization algorithms, v. I, II, Springer, Berlin, 1993

[4] Kiwiel K. C., “A method for solving certain guadratic programming problems arising in nonsmooth optimization”, IMA J. Numer. Analys., 6:2 (1986), 137–152 | DOI | MR | Zbl

[5] Ortega Dzh., Reinboldt V., Iteratsionnye metody resheniya nelineinykh sistem uravnenii so mnogimi neizvestnymi, Mir, M., 1975 | MR

[6] Sherman J., Morrison W. J., “Adjustment of an inverse matrix corresponding to a change in one element of a given matrix”, Ann. Math. Statistics, 21:1 (1950), 124–127 | DOI | MR | Zbl

[7] Sherman J., “Computations relating to inverse matrices”, Simultaneous Linear Equations and the Determination of Eigenvalues. U.S. Nat. Bur. Standards. Appl. Math. Ser., 29 (1953), 123–124 | MR | Zbl

[8] Voevodin B. B., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl

[9] Malozemov V. N., Lineinaya algebra bez opredelitelei. Kvadratichnaya funktsiya, Izd-vo SPbGU, SPb., 1997

[10] Faddeev D. K., Faddeeva V. N., Vychislitelnye metody lineinoi algebry, Izd. 2-e, Fizmatgiz, M., 1963 | MR | Zbl