Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations.
L. Elsner, Volker Mehrmann (1991)
Numerische Mathematik
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L. Elsner, Volker Mehrmann (1991)
Numerische Mathematik
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K. Veselic (1979)
Numerische Mathematik
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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...
J.W. Lewis (1982)
Numerische Mathematik
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J.M. BENNETT (1965)
Numerische Mathematik
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H. Mikos (1979)
Applicationes Mathematicae
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P.A. BUSINGER (1968)
Numerische Mathematik
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O.L. MANGASARIAN (1970)
Numerische Mathematik
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F.L. BAUER (1963)
Numerische Mathematik
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F.L. BAUER (1969)
Numerische Mathematik
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Harry Yserentant (1989)
Numerische Mathematik
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A. van der SLUIS (1970)
Numerische Mathematik
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Luis Verde-Star (2015)
Special Matrices
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We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inverses of strict k-Hessenberg matrices and banded matrices. Our results can be extended to the cases of block triangular and block Hessenberg matrices. An n × n lower triangular matrix is called elementary if it is of the form I + C, where I is the identity matrix and C is lower triangular and has all of its...
Yongzhong Song (1993)
Numerische Mathematik
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J. Kautsky (1980/81)
Numerische Mathematik
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W. GAUTSCHI (1963)
Numerische Mathematik
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W. GAUTSCHI (1962/63)
Numerische Mathematik
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