-
1
-
-
34047199854
-
Approximation of Large-Scale Dynamical Systems
-
SIAM, Philadelphia
-
Antoulas A. Approximation of Large-Scale Dynamical Systems. Advances in Design and Control 2005, SIAM, Philadelphia.
-
(2005)
Advances in Design and Control
-
-
Antoulas, A.1
-
3
-
-
35448978008
-
CTDSX-a collection of benchmark examples for state-space realizations of continuous-time dynamical systems
-
D. Kressner, V. Mehrmann, T. Penzl, CTDSX-a collection of benchmark examples for state-space realizations of continuous-time dynamical systems, Tech. Report SLICOT Working Note 1998-9, 1998. http://www.slicot.org/REPORTS/SLWN1998-9.ps.gz.
-
(1998)
Tech. Report SLICOT Working Note 1998-9
-
-
Kressner, D.1
Mehrmann, V.2
Penzl, T.3
-
4
-
-
0033295674
-
A cyclic low-rank Smith method for large sparse Lyapunov equations
-
Penzl T. A cyclic low-rank Smith method for large sparse Lyapunov equations. SIAM J. Sci. Comput. 2000, 21:1401-1418.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 1401-1418
-
-
Penzl, T.1
-
5
-
-
0000175612
-
Numerical solution of large Lyapunov equations
-
Birkhauser, Boston, M.A. Kaashoek, J.H. van Schuppen, A.C. Ran (Eds.) Signal Processing, Scattering, Operator Theory and Numerical Methods
-
Saad Y. Numerical solution of large Lyapunov equations. Proc. of the Internat. Symposium MTNS-89 1990, vol. 3:503-511. Birkhauser, Boston. M.A. Kaashoek, J.H. van Schuppen, A.C. Ran (Eds.).
-
(1990)
Proc. of the Internat. Symposium MTNS-89
, vol.3
, pp. 503-511
-
-
Saad, Y.1
-
6
-
-
84976855597
-
Algorithm 432: solution of the matrix equation AX+XB=C
-
Bartels R.H., Stewart G.W. Algorithm 432: solution of the matrix equation AX+XB=C. Commun. ACM 1972, 15:820-826.
-
(1972)
Commun. ACM
, vol.15
, pp. 820-826
-
-
Bartels, R.H.1
Stewart, G.W.2
-
7
-
-
84855206015
-
CODATA Internationally recommended values of the fundamental physical constants, The Physics Laboratory of the National Institute of Standards
-
Available online at:
-
CODATA Internationally recommended values of the fundamental physical constants, The Physics Laboratory of the National Institute of Standards. Available online at: http://physics.nist.gov/cuu/Constants.
-
-
-
-
8
-
-
0004217246
-
-
Kluwer Academic Publishers, Dordrecht, Boston, London
-
Kearfott R.B., Kreinovich V. Applications of Interval Computations 1996, Kluwer Academic Publishers, Dordrecht, Boston, London.
-
(1996)
Applications of Interval Computations
-
-
Kearfott, R.B.1
Kreinovich, V.2
-
9
-
-
0002342184
-
INTLAB-INTerval LABoratory
-
Kluwer, Dordrecht, Netherlands, T. Csendes (Ed.)
-
Rump S.M. INTLAB-INTerval LABoratory. Developments in Reliable Computing 1999, 77-105. Kluwer, Dordrecht, Netherlands. T. Csendes (Ed.).
-
(1999)
Developments in Reliable Computing
, pp. 77-105
-
-
Rump, S.M.1
-
10
-
-
77956973832
-
Verification Software in MATLAB/INTLAB
-
Available online at
-
J. Rohn, Verification Software in MATLAB/INTLAB. Available online at: http://uivtx.cs.cas.cz/~rohn/matlab.
-
-
-
Rohn, J.1
-
11
-
-
0028754775
-
The interval Sylvester matrix equation
-
Seif N.P., Hussein S.A., Deif A.S. The interval Sylvester matrix equation. Computing 1994, 52:233-244.
-
(1994)
Computing
, vol.52
, pp. 233-244
-
-
Seif, N.P.1
Hussein, S.A.2
Deif, A.S.3
-
12
-
-
0036883018
-
Robust stabilization of linear interval systems
-
Shashikhin V.N. Robust stabilization of linear interval systems. J. Appl. Math. Mech. 2002, 66:393-400.
-
(2002)
J. Appl. Math. Mech.
, vol.66
, pp. 393-400
-
-
Shashikhin, V.N.1
-
13
-
-
84904240307
-
Robust assignment of poles in large-scale interval systems
-
Shashikhin V.N. Robust assignment of poles in large-scale interval systems. Autom. Remote Control 2002, 63:200-208.
-
(2002)
Autom. Remote Control
, vol.63
, pp. 200-208
-
-
Shashikhin, V.N.1
-
14
-
-
21844503702
-
Computing exact componentwise bounds on solutions of linear systems with interval data is NP-hard
-
Rohn J., Kreinovich V. Computing exact componentwise bounds on solutions of linear systems with interval data is NP-hard. SIAM J. Matrix Anal. Appl. 1995, 16:415.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 415
-
-
Rohn, J.1
Kreinovich, V.2
-
15
-
-
0003553371
-
-
Kluwer, Dordrecht
-
Kreinovich V., Lakeyev A., Rohn J., Kahl P. Computational Complexity and Feasiility of Data Processing and Interval Computations 1998, Kluwer, Dordrecht.
-
(1998)
Computational Complexity and Feasiility of Data Processing and Interval Computations
-
-
Kreinovich, V.1
Lakeyev, A.2
Rohn, J.3
Kahl, P.4
-
16
-
-
0039576225
-
Enclosing solutions of linear interval equations is NP-hard
-
Rohn J. Enclosing solutions of linear interval equations is NP-hard. Computing 1994, 53:365-368.
-
(1994)
Computing
, vol.53
, pp. 365-368
-
-
Rohn, J.1
-
17
-
-
79951511044
-
Standardized notation in interval analysis
-
Kearfott R.B., Nakano M.T., Neumaier A., Rump S.M., Shary S.P., van Hentenryck P. Standardized notation in interval analysis. Reliab. Comput. 2010, 15:7-13.
-
(2010)
Reliab. Comput.
, vol.15
, pp. 7-13
-
-
Kearfott, R.B.1
Nakano, M.T.2
Neumaier, A.3
Rump, S.M.4
Shary, S.P.5
van Hentenryck, P.6
-
21
-
-
0036792971
-
A new technique in systems analysis under interval uncertainty and ambiguity
-
Shary S.P. A new technique in systems analysis under interval uncertainty and ambiguity. Reliab. Comput. 2002, 8:321-418.
-
(2002)
Reliab. Comput.
, vol.8
, pp. 321-418
-
-
Shary, S.P.1
-
22
-
-
79951513497
-
Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation AX=B
-
Hashemi B., Dehghan M. Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation AX=B. J. Comput. Appl. Math. 2011, 235:2969-2978.
-
(2011)
J. Comput. Appl. Math.
, vol.235
, pp. 2969-2978
-
-
Hashemi, B.1
Dehghan, M.2
-
23
-
-
0003782132
-
Scientific Computing with Automatic Result Verification
-
Academic Press, Boston, E. Adams, U. Kulisch (Eds.)
-
Scientific Computing with Automatic Result Verification. Mathematics in Science and Engineering 1993, vol. 189. Academic Press, Boston. E. Adams, U. Kulisch (Eds.).
-
(1993)
Mathematics in Science and Engineering
, vol.189
-
-
-
24
-
-
33645378875
-
Interval analysis: interval Newton methods
-
Kluwer
-
Kearfott R.B. Interval analysis: interval Newton methods. Encyclopedia of Optimization 2001, vol. 3:76-78. Kluwer.
-
(2001)
Encyclopedia of Optimization
, vol.3
, pp. 76-78
-
-
Kearfott, R.B.1
-
25
-
-
0043271714
-
Rigorous solution of linear programming problems with uncertain data
-
Jansson C., Rump S.M. Rigorous solution of linear programming problems with uncertain data. ZOR, Methods Models Oper. Res. 1991, 35:87-111.
-
(1991)
ZOR, Methods Models Oper. Res.
, vol.35
, pp. 87-111
-
-
Jansson, C.1
Rump, S.M.2
-
26
-
-
33746928018
-
Verification methods for dense and sparse systems of equations
-
North-Holland, Amsterdam, J. Herzberger (Ed.)
-
Rump S.M. Verification methods for dense and sparse systems of equations. Topics in Validated Computations 1994, 63-136. North-Holland, Amsterdam. J. Herzberger (Ed.).
-
(1994)
Topics in Validated Computations
, pp. 63-136
-
-
Rump, S.M.1
-
27
-
-
72449198921
-
Verified computation of square roots of a matrix
-
Preprint available as technical report BUW-SC 09/2, Bergische Universität Wuppertal.
-
Frommer A., Hashemi B. Verified computation of square roots of a matrix. SIAM J. Matrix Anal. Appl. 2009, 31:1279-1302. Preprint available as technical report BUW-SC 09/2, Bergische Universität Wuppertal. www-ai.math.uni-wuppertal.de/SciComp/preprints/SC0902.pdf.
-
(2009)
SIAM J. Matrix Anal. Appl.
, vol.31
, pp. 1279-1302
-
-
Frommer, A.1
Hashemi, B.2
-
29
-
-
33847244045
-
A note on epsilon-inflation
-
Rump S.M. A note on epsilon-inflation. Reliab. Comput. 1998, 4:371-375.
-
(1998)
Reliab. Comput.
, vol.4
, pp. 371-375
-
-
Rump, S.M.1
-
30
-
-
0030556718
-
Numerical solution of the Lyapunov equation by approximate power iteration
-
Hodel A.S., Poolla K.P., Tenison B. Numerical solution of the Lyapunov equation by approximate power iteration. Linear Algebra Appl. 1996, 236:205-230.
-
(1996)
Linear Algebra Appl.
, vol.236
, pp. 205-230
-
-
Hodel, A.S.1
Poolla, K.P.2
Tenison, B.3
-
31
-
-
0002614417
-
Solving the interval tolerance problem
-
Shary S.P. Solving the interval tolerance problem. Math. Comput. Simul. 1995, 39:53-85.
-
(1995)
Math. Comput. Simul.
, vol.39
, pp. 53-85
-
-
Shary, S.P.1
-
32
-
-
0009360251
-
Algebraic approach to the interval linear static identification, tolerance and control problems, or one more application of Kaucher arithmetic
-
Shary S.P. Algebraic approach to the interval linear static identification, tolerance and control problems, or one more application of Kaucher arithmetic. Reliab. Comput. 1996, 2:3-33.
-
(1996)
Reliab. Comput.
, vol.2
, pp. 3-33
-
-
Shary, S.P.1
-
33
-
-
0009446012
-
Controllable solution set to interval static systems
-
Shary S.P. Controllable solution set to interval static systems. Appl. Math. Comput. 1997, 86:185-196.
-
(1997)
Appl. Math. Comput.
, vol.86
, pp. 185-196
-
-
Shary, S.P.1
-
34
-
-
23044533611
-
Quality of the solution sets of parameter-dependent interval linear systems
-
Popova E. Quality of the solution sets of parameter-dependent interval linear systems. Z. Angew. Math. Mech. 2002, 82:723-727.
-
(2002)
Z. Angew. Math. Mech.
, vol.82
, pp. 723-727
-
-
Popova, E.1
-
35
-
-
33749650826
-
Inner and outer bounds for the solution set of parametric interval linear systems
-
Popova E., Krämer W. Inner and outer bounds for the solution set of parametric interval linear systems. J. Comput. Appl. Math. 2007, 199:310-316.
-
(2007)
J. Comput. Appl. Math.
, vol.199
, pp. 310-316
-
-
Popova, E.1
Krämer, W.2
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