Dynamic inverse problem for complex Jacobi matrices

2025/05/27 by A. S. Mikhaylov, Mikhaylov, A. S., Victor Mikhaylov +1 · 2 citations
Computer Science · Mathematics · #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Matrix Theory and Algorithms #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2505.20689

openalex publication_date 2025/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the inverse dynamic problem for a dynamical system with discrete time associated with a semi-infinite complex Jacobi matrix. We propose two approaches of recovering coefficients from dynamic response operator and answer a question on the characterization of dynamic inverse data.

Citations

• Data characterization in dynamical inverse problem for the 1d wave equation with matrix potential
• Dynamical inverse problem for the discrete Schrödinger operator
• The boundary control approach to inverse spectral theory

Cited by

• On the Weyl function for complex Jacobi matrices
• On the complex moment problem as a dynamic inverse problem for a discrete system

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