U petak 1.3.2024. od 12h u dvorani B3-17 PMF-a

Professor Dr. Sk. Safique Ahmad

Indian Institute of Technology IndoreDepartment of Mathematics

održat će predavanje

Pseudospectra, Stability Radii and their Relationship with Backward Error for Structured Nonlinear Eigenvalue Problems

Predavanje je organizirano u sklopu redovitog kolokvija Znanstvenog razreda SMD-a.

Pozivamo sve zainteresirane da prisustvuju.

Sažetak: This talk will discuss the pseudospectra and stability radii for structured nonlinear matrix functions, such as Hermitian, skew-Hermitian, H-even, H-odd, complex symmetric, and complex skew-symmetric. For computing pseudospectra and stability radii, an eigenvalue backward error is required. Hence, we initially present the structured eigenvalue backward error. Subsequently, we show how to compute the structured pseudospectra using the obtained results for the eigenvalue backward error for a class of structured nonlinear matrix functions. Finally, we discuss the stability radii of the above structured problems arising in different applications. This is joint work with Gyan Swarup Nag.