Regularity of interval matrices and theorems of the alternatives

Reliable Computing

Volumn 12, Issue 2, 2006, Pages 99-105

  Rohn, Jiří ^a  

^a INSTITUTE OF COMPUTER SCIENCE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; NONLINEAR EQUATIONS; THEOREM PROVING;

INEQUALITIES; INTERVAL MATRICES; ORTHANT; REGULARITY;

MATRIX ALGEBRA;

EID: 29044436037     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-006-4877-z     Document Type: Article

References (6)

1. Oettli, W. and Prager, W.: Compatibility of Approximate Solution of Linear Equations with Given Error Bounds for Coefficients and Right-Hand Sides, Numerische Mathematik 6 (1964), pp. 405-409.
2. Poljak, S. and Rohn, J.: Checking Robust Nonsingularity Is NP-Hard, Mathematics of Control, Signals, and Systems 6 (1993), pp. 1-9.
3. Rohn, J.: A Theorem of the Alternatives for the Equation Ax + B|x| = b, Linear and Multilinear Algebra 52 (2004), pp. 421-426.
4. Rohn, J.: An Existence Theorem for Systems of Linear Equations, Linear and Multilinear Algebra 29 (1991), pp. 141-144.
5. Rohn, J.: Characterization of a Linear Program in Standard Form by a Family of Linear Programs with Inequality Constraints, Ekonomicko-matematický obzor 26 (1990), pp. 71-73.
6. Rohn, J.: Systems of Linear Interval Equations, Linear Algebra and Its Applications 126 (1989), pp. 39-78.