The inverse eigenvalue problem for nonnegative matrices

By Helena Šmigoc. 2004

76 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/1c6db0188d0dc5071ffa8b4c78d10757d7f21a07

Citations in the corpus

• Nonnegative realization of spectra having negative real parts (2006, unknown): “Šmigoc [16] proved that (3) can be weakened to λi ∈ {z ∈ C : Re(z) 0, √ 3|Re(z)| |Im(z)|} for i = 2, .”
• Structured inverse eigenvalue problems (2002, unknown): “On the other hand, we could formulate the SNIEP as a constrained optimization problem of minimizing the objective function F (Q,R) := 1 2 ‖QTΛQ−R ◦R‖2, subject to the constraint (Q,R) ∈ O(n) × S(n), where ◦ stands for the Hadamard product and S(n) stands for the subspace of n × n symmetric matrices.”