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- Daniela Calvetti
- Math. Comput.
- 2009

Reading is a hobby to open the knowledge windows. Besides, it can provide the inspiration and spirit to face this life. By this way, concomitant with the technology development, many companies serveâ€¦ (More)

The Lanczos process is a well known technique for computing a few, say k, eigenvalues and associated eigenvectors of a large symmetric n Ã— n matrix. However, loss of orthogonality of the computedâ€¦ (More)

- James Baglama, Daniela Calvetti, Gene H. Golub, Lothar Reichel
- SIAM J. Scientific Computing
- 1998

The restarted GMRES algorithm proposed by Saad and Schultz [SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856â€“869] is one of the most popular iterative methods for the solution of large linear systemsâ€¦ (More)

Throughout this paper the integer l is defined by (1.3). Saad and Schulz [6, Proposition 2] show that when A is nonsingular and m â‰¥ l, the solution xm of the minimization problem (1.2) solves theâ€¦ (More)

- Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel
- Math. Comput.
- 2000

Recently Laurie presented a new algorithm for the computation of (2n+1)-point Gauss-Kronrod quadrature rules with real nodes and positive weights. This algorithm first determines a symmetricâ€¦ (More)

- Daniela Calvetti, Jari P. Kaipio, Erkki Someralo
- 2005

The selection of boundary conditions when restoring a finite 1D or 2D signal has received a lot of interest in recent times. Dirichlet, periodic, reflective and antireflective boundary conditions mayâ€¦ (More)

- James Baglama, Daniela Calvetti, Lothar Reichel
- SIAM J. Scientific Computing
- 2003

The irbleigs code is an implementation of an implicitly restarted block-Lanczos method for computing a few selected nearby eigenvalues and associated eigenvectors of a large, possibly sparse,â€¦ (More)

- James Baglama, Daniela Calvetti, Lothar Reichel
- ACM Trans. Math. Softw.
- 2003

irbleigs is a MATLAB program for computing a few eigenvalues and associated eigenvectors of a sparse Hermitian matrix of large order n. The matrix is accessed only through the evaluation ofâ€¦ (More)

- Daniela Calvetti, Lothar Reichel
- Numerical Algorithms
- 1996

A hybrid iterative scheme that combines the Conjugate Gradient (CG) method with Richardson iteration is presented. This scheme is designed for the solution of linear systems of equations with a largeâ€¦ (More)

- Daniela Calvetti, Lothar Reichel, Qin Zhang
- Numerische Mathematik
- 1999

We describe a new iterative method for the solution of large, very ill-conditioned linear systems of equations that arise when discretizing linear ill-posed problems. The right-hand side vectorâ€¦ (More)