References & Citations
Mathematics > Numerical Analysis
Title: On the invertibility of matrices with a double saddle-point structure
(Submitted on 26 Apr 2024)
Abstract: We establish necessary and sufficient conditions for invertiblility of symmetric three-by-three block matrices having a double saddle-point structure that guarantee the unique solvability of double saddle-point systems. We consider various scenarios, including the case where all diagonal blocks are allowed to be rank deficient. Under certain conditions related to the ranks of the blocks and intersections of their kernels, an explicit formula for the inverse is derived.
Submission history
From: Fatemeh Panjeh Ali Beik [view email][v1] Fri, 26 Apr 2024 05:46:54 GMT (18kb)
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