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On the partitioned matrix $(\begin{matrix} O & A \\ A^{} & Q \end{matrix})$ and its associated system $A X = T, A^{} Y + Q X = Z$

Vladimiro Valerio — 1981

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Sulle inverse generalizzate e sulla risoluzione di particolari sistemi di equazioni lineari, con applicazione al calcolo delle strutture reticolari

Vladimiro Valerio — 1976

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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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On the partitioned matrix O A A * Q and its associated system A X = T , A * Y + Q X = Z

Sulle inverse generalizzate e sulla risoluzione di particolari sistemi di equazioni lineari, con applicazione al calcolo delle strutture reticolari

On the partitioned matrix $(\begin{matrix} O & A \\ A^{} & Q \end{matrix})$ and its associated system $A X = T, A^{} Y + Q X = Z$