A method for the inverse numerical range problem.
A new family of spectrally arbitrary ray patterns
An ray pattern is called a spectrally arbitrary ray pattern if the complex matrices in give rise to all possible complex polynomials of degree . In a paper of Mei, Gao, Shao, and Wang (2014) was proved that the minimum number of nonzeros in an irreducible spectrally arbitrary ray pattern is . In this paper, we introduce a new family of spectrally arbitrary ray patterns of order with exactly nonzeros.
A note on the convexity of the realizable set of eigenvalues for nonnegative symmetric matrices.
An inverse eigenvalue problem of Hermite-Hamilton matrices in structural dynamic model updating.
An inverse quadratic eigenvalue problem for damped structural systems.
Constructions of trace zero symmetric stochastic matrices for the inverse eigenvalue problem.
Controllability of partially prescribed matrices.
Explicit solution of the inverse eigenvalue problem of real symmetric matrices and its application to electrical network synthesis.
Inertially arbitrary nonzero patterns of order 4.
Interpolation by matrices.
Inverse eigenvalue problem of unitary Hessenberg matrices.
Inverse spectral problems for tridiagonal by complex Hamiltonians.
Inversion of square matrices in processors with limited calculation abillities
An iterative inversion algorithm for a class of square matrices is derived and tested. The inverted matrix can be defined over both real and complex fields. This algorithm is based only on the operations of addition and multiplication. The numerics of the algorithm can cope with a short number representation and therefore can be very useful in the case of processors with limited possibilities, like different neuro-computers and accelerator cards. The quality of inversion can be traced and tested....
Multichannel deblurring of digital images
Blur is a common problem that limits the effective resolution of many imaging systems. In this article, we give a general overview of methods that can be used to reduce the blur. This includes the classical multi-channel deconvolution problems as well as challenging extensions to spatially varying blur. The proposed methods are formulated as energy minimization problems with specific regularization terms on images and blurs. Experiments on real data illustrate very good and stable performance of...
Nonnegative matrices with prescribed elementary divisors.
On a classic example in the nonnegative inverse eigenvalue problem.
On determining minimal spectrally arbitrary patterns.
On nonnegative sign equivalent and sign similar factorizations of matrices.
On two conjectures regarding an inverse eigenvalue problem for acyclic symmetric matrices.
Perturbing non-real eigenvalues of nonnegative real matrices.