Advanced search
Publication Cover
Linear and Multilinear Algebra Volume 38, 1994 - Issue 1-2
Submit an article Journal homepage
40
Views
32
CrossRef citations to date
0
Altmetric
Original Articles

Linear interval inequalities

Ji[rcirc]í Rohn Faculty of Mathematics and Physics, Charles university, Prague, 11800, Czech RepublicMalostranské nám.25
&
Jana KreslovÁ Faculty of Mathematics and Physics, Charles university, Prague, 11800, Czech RepublicMalostranské nám.25
Pages 79-82 | Received 27 Jul 1993, Published online: 30 May 2007

Citations (32)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Yaser Damchi, Javad Sadeh & Habib Rajabi Mashhadi. (2016) Applying Hybrid Interval Linear Programming and Genetic Algorithm to Coordinate Distance and Directional Over-current Relays. Electric Power Components and Systems 44:17, pages 1935-1946.
Read now

Articles from other publishers (31)

Milan Hladík. (2024) Strong solvability of restricted interval systems and its applications in quadratic and geometric programming. Linear Algebra and its Applications 693, pages 4-21.
Crossref
Mengxue Xia, Haohao Li & Daojun Xu. (2023) Checking weak and strong optimality of the solution to interval convex quadratic programming in a general form. Optimization Letters 18:1, pages 339-364.
Crossref
Shashi Kant Mishra, Sanjeev Kumar Singh & Mohd Hassan. (2023) On characterizations of solution sets of interval-valued quasiconvex programming problems. RAIRO - Operations Research 57:5, pages 2585-2600.
Crossref
Milan Hladík. (2023) Properties of the Solution Set of Absolute Value Equations and the Related Matrix Classes. SIAM Journal on Matrix Analysis and Applications 44:1, pages 175-195.
Crossref
Faeze Mohajer, Hossein Kazemi Kargar, Ahmad Salemnia & Javad Sadeh. (2023) Setting Groups-based Overcurrent Relays Coordination Considering Distributed Generations Uncertainties. Setting Groups-based Overcurrent Relays Coordination Considering Distributed Generations Uncertainties.
Milan Hladík. 2023. Optimization and Decision Science: Operations Research, Inclusion and Equity. Optimization and Decision Science: Operations Research, Inclusion and Equity 123 133 .
Milan Hladík & Elif Garajová. 2020. Encyclopedia of Optimization. Encyclopedia of Optimization 1 11 .
Meng-xue Xia, Miao-miao Li, Ben Zhang & Hao-hao Li. (2021) Checking weak and strong optimality of the solution to interval convex quadratic program. Applied Mathematics-A Journal of Chinese Universities 36:2, pages 172-186.
Crossref
Jana Novotná, Milan Hladík & Tomáš Masařík. (2019) Duality Gap in Interval Linear Programming. Journal of Optimization Theory and Applications 184:2, pages 565-580.
Crossref
Bai Xue, Martin Fränzle, Hengjun Zhao, Naijun Zhan & Arvind Easwaran. 2019. Formal Methods and Software Engineering. Formal Methods and Software Engineering 236 252 .
Abbas Saberi Noghabi, Javad Sadeh & Habib Rajabi Mashhadi. (2018) Parameter uncertainty in the optimal coordination of overcurrent relays. International Transactions on Electrical Energy Systems 28:7, pages e2563.
Crossref
Bai Xue, Zhikun She & Arvind Easwaran. (2017) Underapproximating Backward Reachable Sets by Semialgebraic Sets. IEEE Transactions on Automatic Control 62:10, pages 5185-5197.
Crossref
M. Hladík. (2016) On strong optimality of interval linear programming. Optimization Letters 11:7, pages 1459-1468.
Crossref
M. Gavalec, J. Plavka & D. Ponce. (2016) Tolerance types of interval eigenvectors in max-plus algebra. Information Sciences 367-368, pages 14-27.
Crossref
Weldon A. Lodwick & Didier Dubois. (2015) Interval linear systems as a necessary step in fuzzy linear systems. Fuzzy Sets and Systems 281, pages 227-251.
Crossref
Evgenija D. Popova. (2015) Solvability of Parametric Interval Linear Systems of Equations and Inequalities. SIAM Journal on Matrix Analysis and Applications 36:2, pages 615-633.
Crossref
Milan Hladík. (2015) AE solutions and AE solvability to general interval linear systems. Linear Algebra and its Applications 465, pages 221-238.
Crossref
Liang Zou, Martin Fränzle, Naijun Zhan & Peter Nazier Mosaad. 2015. Computer Aided Verification. Computer Aided Verification 338 355 .
Milan Hladík & Stefan Ratschan. (2014) Efficient Solution of a Class of Quantified Constraints with Quantifier Prefix Exists-Forall. Mathematics in Computer Science 8:3-4, pages 329-340.
Crossref
Jiri Rohn. (2013) A Farkas-type theorem for interval linear inequalities. Optimization Letters 8:4, pages 1591-1598.
Crossref
Wei Li, Jiajia Luo, Qin Wang & Ya Li. (2013) Checking weak optimality of the solution to linear programming with interval right-hand side. Optimization Letters 8:4, pages 1287-1299.
Crossref
Milan Hladík. (2012) How to determine basis stability in interval linear programming. Optimization Letters 8:1, pages 375-389.
Crossref
Milan Hladı´k. (2013) Weak and strong solvability of interval linear systems of equations and inequalities. Linear Algebra and its Applications 438:11, pages 4156-4165.
Crossref
Milan Hladík. (2009) Optimal value bounds in nonlinear programming with interval data. TOP 19:1, pages 93-106.
Crossref
Abbas Saberi Noghabi, Habib Rajabi Mashhadi & Javad Sadeh. (2010) Optimal Coordination of Directional Overcurrent Relays Considering Different Network Topologies Using Interval Linear Programming. IEEE Transactions on Power Delivery 25:3, pages 1348-1354.
Crossref
Stefan Ratschan & Zhikun She. (2010) Providing a Basin of Attraction to a Target Region of Polynomial Systems by Computation of Lyapunov-Like Functions. SIAM Journal on Control and Optimization 48:7, pages 4377-4394.
Crossref
L. T. Ashchepkov & D. V. Davydov. (2006) Reductions of interval noncooperative games. Computational Mathematics and Mathematical Physics 46:11, pages 1910-1917.
Crossref
Stefan Ratschan & Zhikun She. (2006) Providing a Basin of Attraction to a Target Region by Computation of Lyapunov-like Functions. Providing a Basin of Attraction to a Target Region by Computation of Lyapunov-like Functions.
L. T. Ashchepkov. (2006) Reductions of interval nonlinear programming problem. Computational Mathematics and Mathematical Physics 46:7, pages 1168-1175.
Crossref
J. Rohn. 2006. Linear Optimization Problems with Inexact Data. Linear Optimization Problems with Inexact Data 35 77 .
Jiri Rohn. (2003) Solvability of Systems of Linear Interval Equations. SIAM Journal on Matrix Analysis and Applications 25:1, pages 237-245.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.