Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection

1967 ◽  
Vol 9 (5) ◽  
pp. 386-393 ◽  
Author(s):  
W. Barth ◽  
R. S. Martin ◽  
J. H. Wilkinson
Keyword(s):  
Tridiagonal Matrix ◽  
Symmetric Tridiagonal Matrix

scholarly journals A formula for Eigenpairs of certain symmetric tridiagonal matrices

1997 ◽  
Vol 55 (2) ◽  
pp. 249-254 ◽  
Author(s):  
Byeong Chun Shin
Keyword(s):  
Closed Form ◽  
Tridiagonal Matrix ◽  
Closed Form Expression ◽  
Eigenvalues And Eigenvectors ◽  
Form Expression ◽  
Tridiagonal Matrices ◽  
Symmetric Tridiagonal Matrix ◽  
Odd Order ◽  
Order Case ◽  
Even Order

A closed form expression is given for the eigenvalues and eigenvectors of a symmetric tridiagonal matrix of odd order whose diagonal elements are all equal and whoes superdiagonal elements alternate between the values c and d. An implicit formula is given for the even order case.

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