Alleon G, Benzi M, Giraud L (1997) Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics. Numer Algorith 16(1):1–15zbMATHMathSciNetGoogle Scholar

Barnard S, Grote M (1999) A block version of the SPAI preconditioner. Proceedings of the 9th SIAM conference on Parallel Processing for Scientific Computing, San Antonio, TXGoogle Scholar

Barnard ST, Clay RL (1997) A portable MPI implemention of the SPAI preconditioner in ISIS++. In: Heath M, et al (eds) Proceedings of the eighth SIAM conference on parallel processing for scientific computing, Philadelphia, PAGoogle Scholar

Benson MW, Frederickson PO (1982) Iterative solution of large sparse linear systems arising in certain multidimensional approximation problems. Utilitas Math 22:127–140zbMATHMathSciNetGoogle Scholar

Bröker O, Grote M, Mayer C, Reusken A (2001) Robust parallel smoothing for multigrid via sparse approximate inverses. SIAM J Scient Comput 23(4):1396–1417zbMATHGoogle Scholar

Bröker O, Grote M (2002) Sparse approximate inverse smoothers for geometric and algebraic multigrid. Appl Num Math 41(1):61–80zbMATHGoogle Scholar

Chan TFC, Mathew TP (1992) The interface probing technique in domain decomposition. SIAM J Matrix Anal Appl 13(1):212–238zbMATHMathSciNetGoogle Scholar

Chan TF, Tang WP, Wan WL (1997) Wavelet sparse approximate inverse preconditioners. BIT 37(3):644–660zbMATHMathSciNetGoogle Scholar

Chow E (2000) A priori sparsity patterns for parallel sparse approximate inverse preconditioners. SIAM J Sci Comput 21(5):1804–1822zbMATHMathSciNetGoogle Scholar

Cosgrove JDF, D´iaz JC, Griewank A (1992) Approximate inverse preconditionings for sparse linear systems. Int J Comput Math 44:91–110zbMATHGoogle Scholar

Demko S, Moss WF, Smith PW (1984) Decay rates of inverses of band matrices. Math Comp 43:491–499zbMATHMathSciNetGoogle Scholar

Gould NIM, Scott JA (1995) On approximate-inverse preconditioners. Technical Report RAL-TR-95-026, Rutherford Appleton Laboratory, Oxfordshire, EnglandGoogle Scholar

Grote MJ, Huckle T (1997) Parallel preconditioning with sparse approximate inverses. SIAM J Sci Comput 18(3):838–853zbMATHMathSciNetGoogle Scholar

Huckle T (2003) Factorized sparse approximate inverses for preconditioning. J Supercomput 25:109–117zbMATHGoogle Scholar

Huckle T, Kallischko A (2007) Frobenius norm minimization and probing for preconditioning. Int J Comp Math 84(8):1225–1248zbMATHMathSciNetGoogle Scholar

Huckle T, Sedlacek M (2010) Smoothing and regularization with modified sparse approximate inverses. Journal of Electrical and Computer Engineering – Special Issue on Iterative Signal Processing in Communications, Appearing (2010)Google Scholar

Holland RM, Shaw GJ, Wathen AJ (2005) Sparse approximate inverses and target matrices. SIAM J Sci Comput 26(3):1000–1011zbMATHMathSciNetGoogle Scholar

Kaporin IE (1994) New convergence results and preconditioning strategies for the conjugate gradient method. Numer Linear Algebra Appl 1:179–210zbMATHMathSciNetGoogle Scholar

Kolotilina LY, Yeremin AY (1993) Factorized sparse approximate inverse preconditionings I: Theory. SIAM J Matrix Anal Appl 14(1):45–58zbMATHMathSciNetGoogle Scholar

Kolotilina LY, Yeremin AY (1995) Factorized sparse approximate inverse preconditionings II: Solution of 3D FE systems on massively parallel computers. Inter J High Speed Comput 7(2):191–215Google Scholar

Tang W-P (1999) Toward an effective sparse approximate inverse preconditioner. SIAM J Matrix Anal Appl 20(4):970–986zbMATHMathSciNetGoogle Scholar

Tang WP, Wan WL (2000) Sparse approximate inverse smoother for multigrid. SIAM J Matrix Anal Appl 21(4):1236–1252zbMATHMathSciNetGoogle Scholar

Zhang J (2002) A sparse approximate inverse technique for parallel preconditioning of general sparse matrices. Appl Math Comput 130(1):63–85zbMATHMathSciNetGoogle Scholar