Smith-Type Methods for Balanced Truncation of Large Sparse Systems

Lecture Notes in Computational Science and Engineering - Dimension Reduction of Large-Scale Systems ◽

10.1007/3-540-27909-1_2 ◽

2005 ◽

pp. 49-82 ◽

Cited By ~ 12

Author(s):

Serkan Gugercin ◽

Jing-Rebecca Li

Keyword(s):

Balanced Truncation ◽

Sparse Systems ◽

Large Sparse Systems

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Solution of large, sparse systems of linear equations in massively parallel applications

Proceedings Supercomputing '92 ◽

10.1109/superc.1992.236649 ◽

2003 ◽

Cited By ~ 4

Author(s):

M.T. Jones ◽

P.E. Plassmann

Keyword(s):

Linear Equations ◽

Parallel Applications ◽

Massively Parallel ◽

Systems Of Linear Equations ◽

Sparse Systems ◽

Large Sparse Systems

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On conjugate gradient methods for large sparse systems of linear equations

Lecture Notes in Mathematics - Numerical Integration of Differential Equations and Large Linear Systems ◽

10.1007/bfb0064898 ◽

1982 ◽

pp. 310-322 ◽

Cited By ~ 1

Author(s):

O. Axelsson

Keyword(s):

Conjugate Gradient ◽

Linear Equations ◽

Gradient Methods ◽

Conjugate Gradient Methods ◽

Systems Of Linear Equations ◽

Sparse Systems ◽

Large Sparse Systems

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Nonlinear Programming for Large, Sparse Systems

10.21236/ada030690 ◽

1976 ◽

Cited By ~ 10

Author(s):

B. A. Murtagh ◽

M. A. Saunders

Keyword(s):

Nonlinear Programming ◽

Sparse Systems ◽

Large Sparse Systems

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A Newton-Like Method for Simple Bifurcation Problems with Application to Large Sparse Systems

Continuation and Bifurcations: Numerical Techniques and Applications ◽

10.1007/978-94-009-0659-4_16 ◽

1990 ◽

pp. 247-259

Author(s):

Z. Mei

Keyword(s):

Sparse Systems ◽

Bifurcation Problems ◽

Large Sparse Systems

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Truncated Trust Region Methods Based on Preconditioned Iterative Subalgorithms for Large Sparse Systems of Nonlinear Equations

Journal of Optimization Theory and Applications ◽

10.1023/a:1022678023392 ◽

1997 ◽

Vol 95 (3) ◽

pp. 637-658 ◽

Cited By ~ 7

Author(s):

L. Lukšan ◽

J. Vlček

Keyword(s):

Nonlinear Equations ◽

Trust Region ◽

Systems Of Nonlinear Equations ◽

Trust Region Methods ◽

Sparse Systems ◽

Preconditioned Iterative ◽

Large Sparse Systems

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A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations

Linear Algebra and its Applications ◽

10.1016/s0024-3795(98)10093-9 ◽

1998 ◽

Vol 282 (1-3) ◽

pp. 1-24 ◽

Cited By ~ 6

Author(s):

Zhong-Zhi Bai

Keyword(s):

Linear Equations ◽

Relaxation Methods ◽

Parallel Decomposition ◽

Systems Of Linear Equations ◽

Sparse Systems ◽

Large Sparse Systems

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A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.02.007 ◽

2007 ◽

Vol 57 (3) ◽

pp. 235-252 ◽

Cited By ~ 48

Author(s):

Heng-Bin An ◽

Zhong-Zhi Bai

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Gmres Method ◽

Globally Convergent ◽

Sparse Systems ◽

Large Sparse Systems

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Minimizing Round-Off Error in Direct Solution of Large Sparse Systems of Linear Equations

ACS Symposium Series - Computer Applications to Chemical Engineering ◽

10.1021/bk-1980-0124.ch014 ◽

1980 ◽

pp. 269-280

Author(s):

M. SHACHAM

Keyword(s):

Linear Equations ◽

Direct Solution ◽

Systems Of Linear Equations ◽

Sparse Systems ◽

Large Sparse Systems

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A normalized implicit conjugate gradient method for the solution of large sparse systems of linear equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(80)90075-4 ◽

1980 ◽

Vol 23 (1) ◽

pp. 1-19 ◽

Cited By ~ 17

Author(s):

D.J. Evans ◽

E.A. Lipitakis

Keyword(s):

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Linear Equations ◽

Systems Of Linear Equations ◽

Sparse Systems ◽

Large Sparse Systems

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Tensor methods for large sparse systems of nonlinear equations

10.2172/434848 ◽

1996 ◽

Author(s):

A. Bouaricha ◽

R.B. Schnabel

Keyword(s):

Nonlinear Equations ◽

Systems Of Nonlinear Equations ◽

Tensor Methods ◽

Sparse Systems ◽

Large Sparse Systems

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