J. M. Ortega
- 1 W. GIVENS, Numerical computation of the characteristic values of a real symmetric matrix: Oak Ridge National Laboratory, Report 1574, February 19, 1954.Google Scholar
- 2 J. V. UsP~.~sxY, Theory of Equations. New York: McGraw-Hill, 1958.Google Scholar
- 3 A. J. PE~LIs ANT K. SA~IELSON, Preliminary Report--International Algebraic Language, Comm. ACM 1, No. 12 (Dec. 1958), 8--22. Google Scholar
Index Terms
- On Sturm Sequences for Tridiagonal Matrices
Recommendations
Inverse eigenvalue problems of tridiagonal symmetric matrices and tridiagonal bisymmetric matrices
The problem of generating a matrix A with specified eigenpairs, where A is a tridiagonal symmetric matrix, is presented. A general expression of such a matrix is provided, and the set of such matrices is denoted by S"E. Moreover, the corresponding least-...
Convergence of GMRES for Tridiagonal Toeplitz Matrices
We analyze the residuals of GMRES [Y. Saad and M. H. Schultz, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856--859], when the method is applied to tridiagonal Toeplitz matrices. We first derive formulas for the residuals as well as their norms when ...
Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices
In inverse eigenvalue problems one tries to reconstruct a matrix, satisfying some constraints, given some spectral information. Here, two inverse eigenvalue problems are solved. First, given the eigenvalues and the first components of the associated ...
Comments