Class information for: |
Basic class information |
| Class id | #P | Avg. number of references |
Database coverage of references |
|---|---|---|---|
| 14267 | 781 | 23.1 | 46% |
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 |
| 943 | 2 | LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE | 10922 |
| 14267 | 1 | NONLINEAR MATRIX EQUATION//NONSYMMETRIC ALGEBRAIC RICCATI EQUATION//POSITIVE DEFINITE SOLUTION | 781 |
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 | NONLINEAR MATRIX EQUATION | authKW | 2894198 | 11% | 83% | 89 |
| 2 | NONSYMMETRIC ALGEBRAIC RICCATI EQUATION | authKW | 1801557 | 6% | 96% | 48 |
| 3 | POSITIVE DEFINITE SOLUTION | authKW | 1467353 | 5% | 89% | 42 |
| 4 | MINIMAL NONNEGATIVE SOLUTION | authKW | 822722 | 3% | 96% | 22 |
| 5 | QUADRATIC MATRIX EQUATION | authKW | 734128 | 3% | 72% | 26 |
| 6 | LYAPUNOV EQUATION | authKW | 545439 | 8% | 23% | 60 |
| 7 | DOUBLING ALGORITHM | authKW | 521272 | 3% | 67% | 20 |
| 8 | HERMITIAN POSITIVE DEFINITE SOLUTION | authKW | 478927 | 2% | 88% | 14 |
| 9 | MINIMAL POSITIVE SOLUTION | authKW | 454931 | 2% | 73% | 16 |
| 10 | MATRIX SIGN FUNCTION | authKW | 441534 | 3% | 47% | 24 |
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 | 24062 | 69% | 0% | 538 |
| 2 | Automation & Control Systems | 3688 | 14% | 0% | 113 |
| 3 | Mathematics | 3484 | 30% | 0% | 231 |
| 4 | Computer Science, Theory & Methods | 257 | 6% | 0% | 44 |
| 5 | Operations Research & Management Science | 202 | 4% | 0% | 32 |
| 6 | Engineering, Electrical & Electronic | 45 | 7% | 0% | 56 |
| 7 | Computer Science, Software Engineering | 24 | 2% | 0% | 14 |
| 8 | Engineering, General | 21 | 2% | 0% | 14 |
| 9 | Computer Science, Hardware & Architecture | 18 | 1% | 0% | 9 |
| 10 | Mathematics, Interdisciplinary Applications | 9 | 1% | 0% | 10 |
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 | INGN CIENCIA COMP | 97145 | 2% | 19% | 13 |
| 2 | GRP COMPUTAT METHODS SYST CONTROL THEORY CS | 87965 | 0% | 75% | 3 |
| 3 | HBEREICH MATH INFORMAT 3 | 63321 | 1% | 18% | 9 |
| 4 | MATH MODELLING SCI COMP | 58642 | 0% | 50% | 3 |
| 5 | GRP MATH IND TECHNOL MIIT | 52127 | 0% | 67% | 2 |
| 6 | NETWORK PLANNING DESIGN | 52127 | 0% | 67% | 2 |
| 7 | AUTOMAT COMP ENGN SIGNAL PROC | 39096 | 0% | 100% | 1 |
| 8 | CIENCIAS CARACAS | 39096 | 0% | 100% | 1 |
| 9 | CNPC EXPLORAT SOFTWARE CORP LTD | 39096 | 0% | 100% | 1 |
| 10 | COMPUTAT MATH AG NUMER | 39096 | 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 | SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 53418 | 7% | 3% | 54 |
| 2 | LINEAR ALGEBRA AND ITS APPLICATIONS | 36072 | 13% | 1% | 103 |
| 3 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 30174 | 4% | 3% | 28 |
| 4 | APPLIED AND COMPUTATIONAL MATHEMATICS | 17565 | 1% | 4% | 11 |
| 5 | ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 9888 | 2% | 2% | 12 |
| 6 | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 7073 | 1% | 4% | 5 |
| 7 | NUMERICAL ALGORITHMS | 4907 | 2% | 1% | 15 |
| 8 | APPLIED MATHEMATICS AND COMPUTATION | 4879 | 6% | 0% | 47 |
| 9 | IMA JOURNAL OF NUMERICAL ANALYSIS | 4547 | 2% | 1% | 13 |
| 10 | SYSTEMS & CONTROL LETTERS | 4231 | 3% | 1% | 21 |
Author Key Words |
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 | HUANG, N , MA, CF , (2015) TWO STRUCTURE-PRESERVING-DOUBLING LIKE ALGORITHMS FOR OBTAINING THE POSITIVE DEFINITE SOLUTION TO A CLASS OF NONLINEAR MATRIX EQUATION.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 69. ISSUE 6. P. 494 -502 | 30 | 88% | 0 |
| 2 | HUANG, N , MA, CF , (2015) TWO INVERSION-FREE ITERATIVE ALGORITHMS FOR COMPUTING THE MAXIMAL POSITIVE DEFINITE SOLUTION OF THE NONLINEAR MATRIX EQUATION.APPLIED AND COMPUTATIONAL MATHEMATICS. VOL. 14. ISSUE 2. P. 158 -167 | 27 | 93% | 0 |
| 3 | XU, SF , CHIANG, CY , CHU, EKW , GUO, CH , HUANG, TM , LIN, WW , (2009) CONVERGENCE ANALYSIS OF THE DOUBLING ALGORITHM FOR SEVERAL NONLINEAR MATRIX EQUATIONS IN THE CRITICAL CASE.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 31. ISSUE 2. P. 227 -247 | 31 | 89% | 17 |
| 4 | LI, J , (2013) SOLUTIONS AND IMPROVED PERTURBATION ANALYSIS FOR THE MATRIX EQUATION X - A*X-P A = Q (P > 0).ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - | 27 | 96% | 0 |
| 5 | YIN, XY , LIU, SY , (2010) POSITIVE DEFINITE SOLUTIONS OF THE MATRIX EQUATIONS X +/- A*X(-Q)A = Q (Q >= 1).COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 59. ISSUE 12. P. 3727-3739 | 27 | 100% | 7 |
| 6 | ZHOU, DM , CHEN, GL , WU, GX , ZHANG, XY , (2013) ON THE NONLINEAR MATRIX EQUATION X-S + A*F(X)A = Q WITH S >= 1.JOURNAL OF COMPUTATIONAL MATHEMATICS. VOL. 31. ISSUE 2. P. 209-220 | 27 | 93% | 1 |
| 7 | MA, CF , LU, HZ , (2016) NUMERICAL STUDY ON NONSYMMETRIC ALGEBRAIC RICCATI EQUATIONS.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 6. P. 4961 -4973 | 22 | 96% | 0 |
| 8 | AL-DUBIBAN, AM , (2015) ON NONLINEAR MATRIX EQUATIONS X +/- SIGMA I=1MAI*X-NIAI = I.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - | 21 | 100% | 0 |
| 9 | GUO, PC , (2016) A MODIFIED LARGE-SCALE STRUCTURE-PRESERVING DOUBLING ALGORITHM FOR A LARGE-SCALE RICCATI EQUATION FROM TRANSPORT THEORY.NUMERICAL ALGORITHMS. VOL. 71. ISSUE 3. P. 541 -552 | 20 | 100% | 0 |
| 10 | DONG, N , YU, B , (2015) ON THE TRIPLING ALGORITHM FOR LARGE-SCALE NONLINEAR MATRIX EQUATIONS WITH LOW RANK STRUCTURE.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 288. ISSUE . P. 18 -32 | 23 | 88% | 0 |
Classes with closest relation at Level 1 |