Valerio, Vladimiro:
Sulle inverse generalizzate e sulla risoluzione di particolari sistemi di equazioni lineari, con applicazione al calcolo delle strutture reticolari
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 60 (1976), fasc. n.2, p. 84-89, (Italian)
pdf (464 Kb), djvu (633 Kb). | MR 0460357 | Zbl 0361.15007
Sunto
For two simultaneous linear matrix equations $AX = T$, $A^{\star}Y + QX = Z$ conditions of consistency and uniqueness of solutions are given. A particular Bjerhammar's generalized inverse of A is used for that; such an inverse minimizes a given norm, called $Q$-norm, in a vectori space. The results are then used to solve problems concerning reticulated structures.
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Con il contributo del Ministero per i Beni e le Attività Culturali