Abstract
Using the notion of a block P-matrix, introduced previously by the authors, a characterization of the nonsingularity (Schur stability, resp.) of all convex combinations of three nonsingular (Schur stable, resp.) real matrices is derived.
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References
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© 1997 Springer-Verlag Berlin Heidelberg
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Elsner, L., Szulc, T. (1997). Convex combinations of matrices — Nonsingularity and Schur stability. In: Vulkov, L., Waśniewski, J., Yalamov, P. (eds) Numerical Analysis and Its Applications. WNAA 1996. Lecture Notes in Computer Science, vol 1196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62598-4_91
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DOI: https://doi.org/10.1007/3-540-62598-4_91
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