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- Publications
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Factorized sparse approximate inverse preconditionings. III. Iterative construction of preconditioners

- A. Y. Yeremin, L. Kolotilina, A. A. Nikishin
- Mathematics
- 1 September 2000

This paper presents new results of the theoretical study of factorized sparse approximate inverse (FSAI) preconditionings. In particular, the effect of the a posteriori Jacobi scaling and the… Expand

Variable Block CG Algorithms for Solving Large Sparse Symmetric Positive Definite Linear Systems on Parallel Computers, I: General Iterative Scheme

- A. A. Nikishin, A. Y. Yeremin
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 1 October 1995

This paper considers a new approach to construction of efficient parallel solution methods of large sparse SPD linear systems. This approach is based on the so-called variable block CG method, a… Expand

A robust AINV-type method for constructing sparse approximate inverse preconditioners in factored form

- S. Kharchenko, L. Kolotilina, A. A. Nikishin, A. Y. Yeremin
- Computer Science
- Numer. Linear Algebra Appl.
- 2001

This paper suggests a new method, called AINV-A, for constructing sparse approximate inverse preconditioners for positive-de nite matrices, which can be regarded as a modi cation of the AINV method… Expand

Factorized sparse approximate inverse preconditionings. IV: Simple approaches to rising efficiency

- L. Kolotilina, A. A. Nikishin, A. Y. Yeremin
- Computer Science
- Numer. Linear Algebra Appl.
- 1999

This paper continues the theoretical and numerical study of the so-called factorized sparse approximate inverse (FSAI) preconditionings of symmetric positive-definite matrices and considers two new… Expand

Factorized sparse approximate inverse preconditionings. IV: Simple approaches to rising efficiency

- L. Kolotilina, A. A. Nikishin, A. Y. Yeremin
- Mathematics
- 1 October 1999

This paper continues the theoretical and numerical study of the so-called factorized sparse approximate inverse (FSAI) preconditionings of symmetric positive-definite matrices and considers two new… Expand

A robust AINV-type method for constructing sparse approximate inverse preconditioners in factored form

- S. Kharchenko, L. Kolotilina, A. A. Nikishin, A. Y. Yeremin
- Mathematics
- 1 April 2001

This paper suggests a new method, called AINV-A, for constructing sparse approximate inverse preconditioners for positive-definite matrices, which can be regarded as a modification of the AINV method… Expand

A reliable AINV-type preconditioning method for constructing sparse approximate inverse precondition

- S. Kharchenko, L. Kolotilina, A. A. Nikishin, A. Y. Yeremin
- Mathematics
- 1999

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Prefiltration technique via aggregation for constructing low-density high-quality factorized sparse approximate inverse preconditionings

- A. A. Nikishin, A. Y. Yeremin
- Computer Science, Mathematics
- Numer. Linear Algebra Appl.
- 1 April 2003

This paper considers a new approach to a priori sparsification of the sparsity pattern of the factorized approximate inverses (FSAI) preconditioner using the so-called vector aggregation technique.… Expand

Ethylcrotonates in synthesis of 4,4-disubstituted 3,5-dicyano-6-oxo-1,4,5,6-tetrahydropyridine-2-thiolates

- V. Dyachenko, A. A. Nikishin, V. P. Litvinov
- Chemistry
- 1 July 1997

An incomplete LU-factorization algorithm based on block bordering

- L. Kolotilina, A. A. Nikishin, A. Y. Yeremin
- Mathematics
- 1 October 2000

This paper suggests a new algorithm, called IBBLU, for constructing incomplete LU-factorizations of general non-singular sparse matrices. This algorithm is based on the block bordering idea and uses… Expand