On properties of some matrix splittings.
Jedrzejec, Henryk A., Woźnicki, Zbigniew I. (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Displaying similar documents to “Matrix splitting principles.”
On properties of some matrix splittings.
Comparison theorems for weak nonnegative splittings of -monotone matrices.
Climent, Joan-Josep, Perea, Carmen (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Basic comparison theorems for weak and weaker matrix splittings.
Woźnicki, Zbigniew I. (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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A weak regular splitting for singular linear systems.
Cheng, Guang-Hui, Huang, Ting-Zhu (2008)
Applied Mathematics E-Notes [electronic only]
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Comparison theorems for weak splittings of bounded operators.
Ivo Marek, Daniel B. Szyld (1990/91)
Numerische Mathematik
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Comparisons of Weak Regular Splittings and Multisplitting Methods.
Ludwig Elsner (1989/90)
Numerische Mathematik
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Convergence analysis of preconditioned AOR iterative method for linear systems.
Liu, Qingbing, Chen, Guoliang (2010)
Mathematical Problems in Engineering
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A convergence analysis of SOR iterative methods for linear systems with weakH-matrices
Cheng-yi Zhang, Zichen Xue, Shuanghua Luo (2016)
Open Mathematics
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It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices). However, the same can not be true in case of those iterative methods for linear systems with weak H-matrices (whose comparison matrices are singular M-matrices). This paper proposes some necessary and sufficient conditions such that SOR iterative...
News and Notices. Award of the National Prize to M. Fiedler and V. Pták
Pavla Vrbová, Antonín Vrba (1978)
Czechoslovak Mathematical Journal
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Some comparison theorems for nonnegative splittings of matrices.
Yongzhong Song (1993)
Numerische Mathematik
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Applying approximate LU-factorizations as preconditioners in eight iterative methods for solving systems of linear algebraic equations
Zahari Zlatev, Krassimir Georgiev (2013)
Open Mathematics
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Many problems arising in different fields of science and engineering can be reduced, by applying some appropriate discretization, either to a system of linear algebraic equations or to a sequence of such systems. The solution of a system of linear algebraic equations is very often the most time-consuming part of the computational process during the treatment of the original problem, because these systems can be very large (containing up to many millions of equations). It is, therefore,...