@article{AA_2014_26_1_a5,
author = {E. L. Rabkin},
title = {Full investigation of the matrix equation $AX+XB=C$ and specifically of the equation $AX-XA=C$},
journal = {Algebra i analiz},
pages = {165--184},
year = {2014},
volume = {26},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AA_2014_26_1_a5/}
}
E. L. Rabkin. Full investigation of the matrix equation $AX+XB=C$ and specifically of the equation $AX-XA=C$. Algebra i analiz, Tome 26 (2014) no. 1, pp. 165-184. http://geodesic.mathdoc.fr/item/AA_2014_26_1_a5/
[1] Frobenius G., “Ueber die vertauschbare Matrizen”, Sitz.-Ber. Akad. Wiss. Phys.-Math. Klasse (Berlin), 1896, 601–614 | Zbl
[2] Gantmakher F. R., Teoriya matrits, GITTL, M., 1953
[3] Bellman R., Vvedenie v teoriyu matrits, Nauka, M., 1969 | MR
[4] Demenchuk A. K., Makarov E. K., “Polinomialnaya formula dlya samosopryazhennykh reshenii matrichnogo uravneniya $AX-XA=C$ s normalnymi koeffitsientami”, Dokl. NAN Belarusi, 52:2 (2008), 5–10 | MR | Zbl
[5] Bračič J., Drnovšek R., Farforovskaya Yu. B., Rabkin E. L., Zemanek J., “On positive commutators”, Positivity, 14:3 (2010), 431–439 | DOI | MR | Zbl
[6] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, M., 1959 | MR
[7] Gelfand I. M., Raikov D. A., Shilov G. E., Kommutativnye normirovannye koltsa, Fizmatgiz, M., 1960 | MR