AbstractIn this paper, we investigate the properties of a special kind of periodic Jacobi matrices. We show that the solution of the inverse problem for periodic Jacobi matrices is unique if and only if the matrix is of that special kind. Moreover, we present an algorithm to construct the solution of that inverse problem and give some illustrative examples. Finally, we perform a stability analysis of the algorithm
AbstractWe prove a conjecture due to Y. Last. The new determinantal representation for transmission ...
AbstractIn this paper, an inverse eigenvalue problem of constructing a Jacobi matrix from its mixed-...
We present necessary and sufficient conditions on the Jost function for the corresponding Jacobi par...
We consider Jacobi matrices whose essential sectrum is a finite union of closed intervals. We focus ...
AbstractIn this paper we consider a generalized inverse eigenvalue problem JnX=λCnX, where Jn is a J...
AbstractThe spectral properties of periodic Jacobi matrices in Minkowski spaces are studied. An inve...
AbstractThe inverse eigenvalue problem for real symmetric matrices of the form000⋯00∗000⋯0∗∗000⋯∗∗0·...
AbstractThis paper presents some existence and uniqueness results for periodic solution of a class o...
AbstractWe consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. ...
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
AbstractIn this paper, sufficient conditions are obtained for the existence of a unique periodic sol...
AbstractA modification of the well-known step-by-step process for solving Nevanlinna–Pick problems i...
AbstractThis paper studies the solutions of complex matrix equations X−AXB=C and X−AXB=C, and obtain...
AbstractBy modifying and generalizing some old techniques of N. Levinson, a uniqueness theorem is es...
AbstractWe prove the so-called Tn conjecture: for every real-monic polynomial p(x) of degree n⩾2 the...
AbstractWe prove a conjecture due to Y. Last. The new determinantal representation for transmission ...
AbstractIn this paper, an inverse eigenvalue problem of constructing a Jacobi matrix from its mixed-...
We present necessary and sufficient conditions on the Jost function for the corresponding Jacobi par...
We consider Jacobi matrices whose essential sectrum is a finite union of closed intervals. We focus ...
AbstractIn this paper we consider a generalized inverse eigenvalue problem JnX=λCnX, where Jn is a J...
AbstractThe spectral properties of periodic Jacobi matrices in Minkowski spaces are studied. An inve...
AbstractThe inverse eigenvalue problem for real symmetric matrices of the form000⋯00∗000⋯0∗∗000⋯∗∗0·...
AbstractThis paper presents some existence and uniqueness results for periodic solution of a class o...
AbstractWe consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. ...
AbstractMirsky proved that, for the existence of a complex matrix with given eigenvalues and diagona...
AbstractIn this paper, sufficient conditions are obtained for the existence of a unique periodic sol...
AbstractA modification of the well-known step-by-step process for solving Nevanlinna–Pick problems i...
AbstractThis paper studies the solutions of complex matrix equations X−AXB=C and X−AXB=C, and obtain...
AbstractBy modifying and generalizing some old techniques of N. Levinson, a uniqueness theorem is es...
AbstractWe prove the so-called Tn conjecture: for every real-monic polynomial p(x) of degree n⩾2 the...
AbstractWe prove a conjecture due to Y. Last. The new determinantal representation for transmission ...
AbstractIn this paper, an inverse eigenvalue problem of constructing a Jacobi matrix from its mixed-...
We present necessary and sufficient conditions on the Jost function for the corresponding Jacobi par...
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