The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems

Minimization of the norm, the norm of th

Minimization of the norm, the norm of the inverse and the condition number of a matrix by completion

✍ Ludwig Elsner; Chunyang He; Volker Mehrmann 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 640 KB

We study the problem of minimizing the norm, the norm of the inverse and the condition number with respect to the spectral norm, when a submatrix of a matrix can be chosen arbitrarily. For the norm minimization problem we give a different proof than that given by Davis/Kahan/Weinberger. This new app