TIAN Yu, WANG Jin-lin. On the Construction of a Symmetric Tridiagonal Matrix from its Mixed-type Eigenpairs[J]. Journal of nanchang hangkong university(Natural science edition), 2010, 24(1): 74-80.
Citation:
TIAN Yu, WANG Jin-lin. On the Construction of a Symmetric Tridiagonal Matrix from its Mixed-type Eigenpairs[J]. Journal of nanchang hangkong university(Natural science edition), 2010, 24(1): 74-80.
TIAN Yu, WANG Jin-lin. On the Construction of a Symmetric Tridiagonal Matrix from its Mixed-type Eigenpairs[J]. Journal of nanchang hangkong university(Natural science edition), 2010, 24(1): 74-80.
Citation:
TIAN Yu, WANG Jin-lin. On the Construction of a Symmetric Tridiagonal Matrix from its Mixed-type Eigenpairs[J]. Journal of nanchang hangkong university(Natural science edition), 2010, 24(1): 74-80.
On the Construction of a Symmetric Tridiagonal Matrix from its Mixed-type Eigenpairs
In this paper,an inverse eigenvalue problem of constructing a symmetric tridiagonal matrix from its mix-type eigenpairs is considered.The necessary and sufficient conditions for the existence and uniqueness of the solutions are derived.One numerical algorithm and several numerical examples are given.
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