Add to ORKGWe show that a unique Jacobi matrix can be reconstructed from two types of mixed data: 1. its two eigenpairs, 2. its eigenvalues and the eigenvalues of its submatrix obtained by removing the first two rows and columns and its 1-1 entry. For the second case, the condition of existence is provided. In addition, we summarize the equivalent sets of parameters used to recover Jacobi matrices and show some direct connections
A kind of inverse eigenvalue problem is proposed which is the reconstruction of a Jacobi matrix by g...
AbstractWe develop direct and inverse spectral analysis for finite and semi-infinite non-self-adjoin...
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We...
AbstractIt is shown that a n×n Jacobi matrix is uniquely determined by its n eigenvalues and by the ...
AbstractIn this paper, an inverse eigenvalue problem of constructing a Jacobi matrix from its mixed-...
AbstractWe show how to construct, from certain spectral data, a discrete inner product for which the...
AbstractIt is well known that given λ1 ⩽ … ⩽ λn and μ1 ⩽ … ⩽ μn − 1, there exists a unique n × n Jac...
AbstractIn this paper, we investigate some properties of eigenvalues and eigenvectors of Jacobi matr...
AbstractA proof is given for the existence and uniqueness of a correspondence between two pairs of s...
AbstractIn this paper we consider a generalized inverse eigenvalue problem JnX=λCnX, where Jn is a J...
We show how to construct, from certain spectral data, a discrete inner product for which the associa...
Recently Xu [13] proposed a new algorithm for computing a Jacobi matrix of order 2n with a given n \...
[[abstract]]In this paper, we use a relation between products of matrices on M2 (R[x]) and Jacobi ma...
We consider semi-infinite Jacobi matrices with discrete spectrum. We prove that the Jacobi operator ...
AbstractThis paper considers the problem of constructing a Jacobi matrix from prescribed ordered def...
A kind of inverse eigenvalue problem is proposed which is the reconstruction of a Jacobi matrix by g...
AbstractWe develop direct and inverse spectral analysis for finite and semi-infinite non-self-adjoin...
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We...
AbstractIt is shown that a n×n Jacobi matrix is uniquely determined by its n eigenvalues and by the ...
AbstractIn this paper, an inverse eigenvalue problem of constructing a Jacobi matrix from its mixed-...
AbstractWe show how to construct, from certain spectral data, a discrete inner product for which the...
AbstractIt is well known that given λ1 ⩽ … ⩽ λn and μ1 ⩽ … ⩽ μn − 1, there exists a unique n × n Jac...
AbstractIn this paper, we investigate some properties of eigenvalues and eigenvectors of Jacobi matr...
AbstractA proof is given for the existence and uniqueness of a correspondence between two pairs of s...
AbstractIn this paper we consider a generalized inverse eigenvalue problem JnX=λCnX, where Jn is a J...
We show how to construct, from certain spectral data, a discrete inner product for which the associa...
Recently Xu [13] proposed a new algorithm for computing a Jacobi matrix of order 2n with a given n \...
[[abstract]]In this paper, we use a relation between products of matrices on M2 (R[x]) and Jacobi ma...
We consider semi-infinite Jacobi matrices with discrete spectrum. We prove that the Jacobi operator ...
AbstractThis paper considers the problem of constructing a Jacobi matrix from prescribed ordered def...
A kind of inverse eigenvalue problem is proposed which is the reconstruction of a Jacobi matrix by g...
AbstractWe develop direct and inverse spectral analysis for finite and semi-infinite non-self-adjoin...
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We...