Direct and iterative methods for interval parametric algebraic systems producing parametric solutions
暂无分享,去创建一个
[1] Michael Zimmer,et al. Solvers for the verified solution of parametric linear systems , 2011, Computing.
[2] E. Popova. On the Solution of Parametrised Linear Systems , 2001 .
[3] Ramil R. Akhmerov. Interval-Affine Gaussian Algorithm for Constrained Systems , 2005, Reliab. Comput..
[4] Gerhard Zielke,et al. Report on test matrices for generalized inverses , 1986, Computing.
[5] Iwona Skalna,et al. A Method for Outer Interval Solution of Systems of Linear Equations Depending Linearly on Interval Parameters , 2006, Reliab. Comput..
[6] Evgenija D. Popova. Solvability of Parametric Interval Linear Systems of Equations and Inequalities , 2015, SIAM J. Matrix Anal. Appl..
[7] M. Hladík,et al. A new method for computing a p-solution to parametric interval linear systems with affine-linear and nonlinear dependencies , 2017 .
[8] Milan Hladík. Description of Symmetric and Skew-Symmetric Solution Set , 2008, SIAM J. Matrix Anal. Appl..
[10] George F. Corliss,et al. Formulation for Reliable Analysis of Structural Frames , 2007, Reliab. Comput..
[11] Lubomir V. Kolev. Componentwise Determination of the Interval Hull Solution for Linear Interval Parameter Systems , 2014, Reliab. Comput..
[12] Svatopluk Poljak,et al. Checking robust nonsingularity is NP-hard , 1993, Math. Control. Signals Syst..
[13] Milan Hladík. Optimal Preconditioning for the Interval Parametric Gauss-Seidel Method , 2014, SCAN.
[14] G. Roeck,et al. Improving interval analysis in finite element calculations by means of affine arithmetic , 2010 .
[15] Evgenija D. Popova,et al. Non-commercial Research and Educational Use including without Limitation Use in Instruction at Your Institution, Sending It to Specific Colleagues That You Know, and Providing a Copy to Your Institution's Administrator. All Other Uses, Reproduction and Distribution, including without Limitation Comm , 2022 .
[16] Lubomir V. Kolev. Automatic Computation of a Linear Interval Enclosure , 2001, Reliab. Comput..
[17] Iwona Skalna. Enclosure for the Solution Set of Parametric Linear Systems with Non-affine Dependencies , 2011, PPAM.
[18] Lubomir V. Kolev,et al. A Method for Outer Interval Solution of Linear Parametric Systems , 2004, Reliab. Comput..
[20] J. Rohn. EXPLICIT INVERSE OF AN INTERVAL MATRIX WITH UNIT MIDPOINT , 2011 .
[21] Evgenija D. Popova. Parameterized outer estimation of AE-solution sets to parametric interval linear systems , 2017, Appl. Math. Comput..
[22] Lubomir V. Kolev. Improvement of a Direct Method for Outer Solution of Linear Parametric Systems , 2006, Reliab. Comput..
[23] Evgenija D. Popova. Solving Linear Systems Whose Input Data Are Rational Functions of Interval Parameters , 2006, Numerical Methods and Applications.
[24] Milan Hladík. Solution Sets of Complex Linear Interval Systems of Equations , 2010, Reliab. Comput..
[25] Vladik Kreinovich,et al. Linear interval equations: Computing enclosures with bounded relative or absolute overestimation is NP-hard , 1996, Reliab. Comput..
[26] Siegfried M. Rump. Verification methods: Rigorous results using floating-point arithmetic , 2010, Acta Numerica.
[27] Lubomir V. Kolev. Parameterized solution of linear interval parametric systems , 2014, Appl. Math. Comput..
[28] Evgenija D. Popova,et al. Improved Solution Enclosures for Over- and Underdetermined Interval Linear Systems , 2005, LSSC.
[29] Milan Hladík,et al. A new algorithm for Chebyshev minimum-error multiplication of reduced affine forms , 2017, Numerical Algorithms.
[30] Lubomir V. Kolev. Worst-case tolerance analysis of linear DC and AC electric circuits , 2002 .
[31] Evgenija D. Popova. Enclosing the solution set of parametric interval matrix equation A(p)X = B(p) , 2017, Numerical Algorithms.
[32] Mehdi Dehghan,et al. Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation A(p)X = B(p) , 2015, Numerical Algorithms.
[33] Milan Hladík,et al. Enclosures for the solution set of parametric interval linear systems , 2012, Int. J. Appl. Math. Comput. Sci..
[34] Iwona Skalna. A Global Optimization Method for Solving Parametric Linear Systems Whose Input Data Are Rational Functions of Interval Parameters , 2009, PPAM.