Convex combinations of matrices — Nonsingularity and Schur stability

  • Ludwig Elsner
  • Tomasz Szulc
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1196)


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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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Ludwig Elsner
    • 1
  • Tomasz Szulc
    • 2
  1. 1.Fakultät für MathematikUniversität BielefeldBielefeldGermany
  2. 2.Faculty of Mathematics and Computer ScienceAdam Mickiewicz UniversityPoznańPoland

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