This work is aimed at mathematics and engineering graduate students and researchers in
the areas of optimization, dynamical systems, control sys tems, signal processing, and linear …

Tight frames, also known as general Welch-bound-equality sequences, generalize
orthonormal systems. Numerous applications-including communications, coding, and …

Inverse eigenvalue problems arise in a remarkable variety of applications and associated
with any inverse eigenvalue problem are two fundamental questions—the theoretical issue …

A collection of inverse eigenvalue problems are identified and classified according to their
characteristics. Current developments in both the theoretic and the algorithmic aspects are …

An inverse eigenvalue problem concerns the reconstruction of a structured matrix from
prescribed spectral data. Such an inverse problem arises in many applications where …

This paper presents a Newton-like algorithm for solving systems of rank constrained linear
matrix inequalities. Though local quadratic convergence of the algorithm is not a priori …

This paper presents a unifying framework for the form-finding and topology-finding of
tensegrity structures. The novel computational framework is based on rank-constrained …

Many mathematical problems, such as existence questions, are studied by using an
appropriate realization process, either iteratively or continuously. This article is a collection …

The Cayley transform method is a Newton-like method for solving inverse eigenvalue
problems. If the problem is large, one can solve the Jacobian equation by iterative methods …

We propose and analyze a pseudotransient continuation algorithm for dynamics on subsets
of R^N. Examples include certain flows on manifolds and the dynamic formulation of bound …