Geodesic
Extending the potentialities of matrix inversion procedures
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 4, pp. 492-504
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S. A. Shishkin. Extending the potentialities of matrix inversion procedures. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 4, pp. 492-504. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_4_a1/

[1] Hoskins W. D., Walton D. J., “A faster, more stable method for computing the $p$-th roots of positive definite matrices”, Linear Algebra and its Appl., 26 (1979), 139–163 | DOI | MR | Zbl

[2] Schulz G., “Iterative Berechnung der resiproken Matrix”, Z. angew. Math. und Mech., 67:1 (1933), 57–59 | DOI | MR

[3] Forsait Dzh., Moler K., Chislennoe reshenie sistem lineinykh algebraicheskikh uravnenii, Mir, M., 1969 | MR

[4] Uilkinson Dzh. Kh., Algebraicheskaya problema sobstvennykh znachenii, Mir, M., 1970

[5] Uilkinson Dzh., Rainsh K., Spravochnik algoritmov na yazyke Algol. Lineinaya algebra, Mashinostroenie, M., 1976

[6] Stikel E., “On a class of high order methods for inverting matrices”, Z. angew. Math. und Mech., 67:7 (1987), 334–336 | DOI | MR

[7] Akselson O., Eikut V., “Ustoichivye vektorizuemye metody pereobuslavlivaniya dlya trekhmernykh ellipticheskikh raznostnykh uravnenii s anizotropiei”, Vychisl. protsessy i sistemy, 6, Nauka, M., 1988, 5–30 | MR

[8] Godunov S. K., Reshenie sistem lineinykh uravnenii, Nauka, Novosibirsk, 1980

[9] Godunov S. K., Antonov A. G., Kirilyuk O. P., Kostin V. I., Garantirovannaya tochnost resheniya sistem lineinykh uravnenii v evklidovykh prostranstvakh, Nauka, Novosibirsk, 1988 | MR

[10] Shishkin S. A., Primenenie permanenty dlya opredeleniya oblasti skhodimosti nyutonovskogo matrichnogo iteratsionnogo protsessa, a takzhe nekotorye aspekty obrascheniya matrits metodom mnogoshagovoi iteratsii, Dep. v TsNTI «Poisk», No 035-4406, 1989, 27 pp.

[11] Voevodin V. V., Vychislitelnye osnovy lineinoi algebry, Nauka, M., 1977 | MR | Zbl