Class information for:
Level 1: INTERVAL LINEAR SYSTEM//INTERVAL LINEAR EQUATIONS//AE SOLUTION SETS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15613 702 17.8 31%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
2135 2             ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS 5069
15613 1                   INTERVAL LINEAR SYSTEM//INTERVAL LINEAR EQUATIONS//AE SOLUTION SETS 702

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 INTERVAL LINEAR SYSTEM authKW 368432 2% 71% 12
2 INTERVAL LINEAR EQUATIONS authKW 334583 1% 77% 10
3 AE SOLUTION SETS authKW 236810 1% 78% 7
4 LINEAR INTERVAL SYSTEMS authKW 223694 1% 86% 6
5 INTERVAL GAUSSIAN ALGORITHM authKW 217482 1% 100% 5
6 LINEAR INTERVAL EQUATIONS authKW 193751 1% 64% 7
7 TOLERABLE SOLUTION SET authKW 181233 1% 83% 5
8 INTERVAL CHOLESKY METHOD authKW 173985 1% 100% 4
9 INTERVAL VALUED PROGRAMMING authKW 173985 1% 100% 4
10 REGION CONTRACTION ALGORITHM authKW 173985 1% 100% 4

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 13556 55% 0% 385
2 Computer Science, Theory & Methods 3042 19% 0% 130
3 Operations Research & Management Science 1940 12% 0% 86
4 Computer Science, Software Engineering 492 7% 0% 46
5 Mathematics 355 11% 0% 78
6 Computer Science, Artificial Intelligence 335 6% 0% 44
7 Automation & Control Systems 181 4% 0% 26
8 Computer Science, Interdisciplinary Applications 91 4% 0% 26
9 Computer Science, Cybernetics 89 1% 0% 8
10 Mathematics, Interdisciplinary Applications 77 3% 0% 20

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 OPERAT CYBERNET 50587 2% 11% 11
2 ANGEW NUMERI E MATH 43496 0% 100% 1
3 AREA ESTADIST IO 43496 0% 100% 1
4 COPRIN PROJECT 13S 43496 0% 100% 1
5 ELECT THEORET ENGN 43496 0% 100% 1
6 INRIACERTIS 43496 0% 100% 1
7 ISCAC COIMBRA 43496 0% 100% 1
8 NAT SCI WRSWT 43496 0% 100% 1
9 OVERSEAS INVESTMENT ENVIRONM 43496 0% 100% 1
10 PL INFORMAT FORMAL DESCRIPT 43496 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 COMPUTING 125834 10% 4% 73
2 RELIABLE COMPUTING 45301 1% 21% 5
3 SIAM JOURNAL ON NUMERICAL ANALYSIS 14511 5% 1% 37
4 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 6997 4% 1% 28
5 OPTIMIZATION LETTERS 5495 2% 1% 11
6 NUMERICAL ALGORITHMS 4099 2% 1% 13
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 3827 4% 0% 30
8 BIT NUMERICAL MATHEMATICS 3515 2% 1% 11
9 FUZZY OPTIMIZATION AND DECISION MAKING 3005 1% 2% 4
10 JOURNAL OF INTEGRAL EQUATIONS 2937 0% 2% 3

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 INTERVAL LINEAR SYSTEM 368432 2% 71% 12 Search INTERVAL+LINEAR+SYSTEM Search INTERVAL+LINEAR+SYSTEM
2 INTERVAL LINEAR EQUATIONS 334583 1% 77% 10 Search INTERVAL+LINEAR+EQUATIONS Search INTERVAL+LINEAR+EQUATIONS
3 AE SOLUTION SETS 236810 1% 78% 7 Search AE+SOLUTION+SETS Search AE+SOLUTION+SETS
4 LINEAR INTERVAL SYSTEMS 223694 1% 86% 6 Search LINEAR+INTERVAL+SYSTEMS Search LINEAR+INTERVAL+SYSTEMS
5 INTERVAL GAUSSIAN ALGORITHM 217482 1% 100% 5 Search INTERVAL+GAUSSIAN+ALGORITHM Search INTERVAL+GAUSSIAN+ALGORITHM
6 LINEAR INTERVAL EQUATIONS 193751 1% 64% 7 Search LINEAR+INTERVAL+EQUATIONS Search LINEAR+INTERVAL+EQUATIONS
7 TOLERABLE SOLUTION SET 181233 1% 83% 5 Search TOLERABLE+SOLUTION+SET Search TOLERABLE+SOLUTION+SET
8 INTERVAL CHOLESKY METHOD 173985 1% 100% 4 Search INTERVAL+CHOLESKY+METHOD Search INTERVAL+CHOLESKY+METHOD
9 INTERVAL VALUED PROGRAMMING 173985 1% 100% 4 Search INTERVAL+VALUED+PROGRAMMING Search INTERVAL+VALUED+PROGRAMMING
10 REGION CONTRACTION ALGORITHM 173985 1% 100% 4 Search REGION+CONTRACTION+ALGORITHM Search REGION+CONTRACTION+ALGORITHM

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 LI, HH , (2015) NECESSARY AND SUFFICIENT CONDITIONS FOR UNIFIED OPTIMALITY OF INTERVAL LINEAR PROGRAM IN THE GENERAL FORM.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 484. ISSUE . P. 154 -174 18 95% 1
2 LI, W , LIU, PZ , LI, HH , (2016) CHECKING WEAK OPTIMALITY OF THE SOLUTION TO INTERVAL LINEAR PROGRAM IN THE GENERAL FORM.OPTIMIZATION LETTERS. VOL. 10. ISSUE 1. P. 77 -88 17 100% 0
3 LUO, J , LI, W , WANG, Q , (2014) CHECKING STRONG OPTIMALITY OF INTERVAL LINEAR PROGRAMMING WITH INEQUALITY CONSTRAINTS AND NONNEGATIVE CONSTRAINTS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 260. ISSUE . P. 180-190 19 86% 7
4 HLADIK, M , (2017) TRANSFORMATIONS OF INTERVAL LINEAR SYSTEMS OF EQUATIONS AND INEQUALITIES.LINEAR & MULTILINEAR ALGEBRA. VOL. 65. ISSUE 2. P. 211 -223 16 100% 0
5 LI, HH , XIA, MX , (2017) FARKAS-TYPE CONDITIONS OF GENERAL INTERVAL LINEAR SYSTEMS FOR AE SOLVABILITY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 514. ISSUE . P. 208 -221 16 100% 0
6 HLADIK, M , CERNY, M , (2016) FIRST STEP IMMERSION IN INTERVAL LINEAR PROGRAMMING WITH LINEAR DEPENDENCIES.BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY. VOL. 42. ISSUE 7. P. 43 -53 16 100% 0
7 MOURRAIN, B , VRAHATIS, MN , YAKOUBSOHN, JC , (2002) ON THE COMPLEXITY OF ISOLATING REAL ROOTS AND COMPUTING WITH CERTAINTY THE TOPOLOGICAL DEGREE.JOURNAL OF COMPLEXITY. VOL. 18. ISSUE 2. P. 612-640 26 84% 19
8 LI, W , XIA, MX , LI, HH , (2016) SOME RESULTS ON THE UPPER BOUND OF OPTIMAL VALUES IN INTERVAL CONVEX QUADRATIC PROGRAMMING.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 302. ISSUE . P. 38 -49 17 89% 0
9 LI, W , LUO, JJ , DENG, CY , (2013) NECESSARY AND SUFFICIENT CONDITIONS OF SOME STRONG OPTIMAL SOLUTIONS TO THE INTERVAL LINEAR PROGRAMMING.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 439. ISSUE 10. P. 3241-3255 16 94% 9
10 HLADIK, M , (2015) AE SOLUTIONS AND AE SOLVABILITY TO GENERAL INTERVAL LINEAR SYSTEMS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 465. ISSUE . P. 221 -238 14 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 11975 GLOBAL OPTIMIZATION//FILLED FUNCTION METHOD//FILLED FUNCTION
2 14448 CONVEX MODEL//UNCERTAIN BUT BOUNDED PARAMETERS//INTERVAL FINITE ELEMENT METHOD
3 25007 NUMERICAL VERIFICATION//SPECTRAL POLLUTION//NUMERICAL VERIFICATION METHOD
4 21592 ERROR FREE TRANSFORMATION//FLOATING POINT ARITHMETIC//FLOATING POINT SUMMATION
5 7992 GLOBAL OPTIMIZATION//JOURNAL OF GLOBAL OPTIMIZATION//SUM OF RATIOS
6 16500 SIMULTANEOUS METHODS//POLYNOMIAL ZEROS//INCLUSION METHODS
7 32881 ABSOLUTE VALUE EQUATION//GENERALIZED NEWTON METHOD//A POSTERIORI PROCESSING
8 18243 FINDING ALL SOLUTIONS//DC ANALYSIS//DC OPERATING POINT
9 6979 FUZZY NUMBERS//FUZZY LINEAR PROGRAMMING//RANKING FUNCTION
10 6827 STRICT POSITIVE REALNESS//ROBUST STABILITY//INTERVAL MATRIX

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