On Symmetric Solution Sets

[1]  Christian Jansson,et al.  Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side , 1991, Computing.

[2]  V. Kreinovich,et al.  On the solution sets of particular classes of linear interval systems , 2003 .

[3]  Uwe Schäfer,et al.  Two Ways to Extend the Cholesky Decomposition to Block Matrices with Interval Entries , 2002, Reliab. Comput..

[4]  Günter Mayer,et al.  A New Way to Describe the Symmetric Solution Set Ssym of Linear Interval Systems , 2001 .

[5]  Siegfried M. Rump,et al.  Symbolic Algebraic Methods and Verification Methods , 2001 .

[6]  Alexander Schrijver,et al.  Theory of linear and integer programming , 1986, Wiley-Interscience series in discrete mathematics and optimization.

[7]  Vladik Kreinovich,et al.  The Shape of the Solution Set for Systems of Interval Linear Equations with Dependent Coefficients , 1998 .

[8]  V. Kreinovich,et al.  On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set , 1997, SIAM J. Matrix Anal. Appl..

[9]  C. Jansson.  Calculation of exact bounds for the solution set of linear interval systems , 1997 .

[10]  G. Heindl.  Some inclusion results based on a generalized version of the Oettli-Prager Theorem , 1996 .

[11]  R. E. Wilson.  A new methodology for dynamic urban traffic flow , 1996 .

[12]  Vladik Kreinovich,et al.  The Shape of the Symmetric Solution Set , 1996 .

[13]  V. Kreinovich,et al.  Symmetric Linear Systems with Perturbed Input Data , 1996 .

[14]  Götz Alefeld,et al.  On the Symmetric and Unsymmetric Solution Set of Interval Systems , 1995, SIAM J. Matrix Anal. Appl..

[15]  S. Rump.  Verification methods for dense and sparse systems of equations , 1994 .

[16]  Götz Alefeld,et al.  The Cholesky method for interval data , 1993 .

[17]  A. Neumaier.  Interval methods for systems of equations , 1990 .

[18]  G. Alefeld,et al.  Introduction to Interval Computation , 1983 .

[19]  G. Golub.  Matrix computations , 1983 .

[20]  W. Greub.  Linear Algebra , 1981 .

[21]  D. J. Harfiel.  Concerning the solution set ofAx=b whereP≦A≦Q andp≦b≦q , 1980 .

[22]  W. Prager,et al.  Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides , 1964 .