Počet záznamů: 1  

On Unique Solvability of the Absolute Value Equation

  1. 1.
    0328409 - ÚI 2010 RIV DE eng J - Článek v odborném periodiku
    Rohn, Jiří
    On Unique Solvability of the Absolute Value Equation.
    [Jednoznačná řešitelnost rovnice s absolutní hodnotou.]
    Optimization Letters. Roč. 3, č. 4 (2009), s. 603-606. ISSN 1862-4472. E-ISSN 1862-4480
    Grant CEP: GA ČR GA201/09/1957; GA ČR GC201/08/J020
    Výzkumný záměr: CEZ:AV0Z10300504
    Klíčová slova: absolute value equation * unique solution * singular values
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.926, rok: 2009

    Citováno: 28

    --- YONG, L.Q. Social Cognitive Optimization for Absolute Value Equations. 2010 ETP/IITA CONFERENCE ON SYSTEM SCIENCE AND SIMULATION IN ENGINEERING (SSSE 2010). 2010, p. 161-164. [WOS]
    --- YONG, L.Q. Differential Evolution Algorithm for Absolute Value Equations. 2010 ETP/IITA CONFERENCE ON TELECOMMUNICATION AND INFORMATION (TEIN 2010). 2010, p. 52-55. [WOS]
    --- MANGASARIAN, O.L. A hybrid algorithm for solving the absolute value equation. OPTIMIZATION LETTERS. ISSN 1862-4472, OCT 2015, vol. 9, no. 7, p. 1469-1474. [WOS]
    --- MANGASARIAN, O.L. Unsupervised classification via convex absolute value inequalities. OPTIMIZATION. ISSN 0233-1934, JAN 2 2015, vol. 64, no. 1, SI, p. 81-86. [WOS]
    --- MANGASARIAN, O.L. Absolute Value Equation Solution Via Linear Programming. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, JUN 2014, vol. 161, no. 3, p. 870-876. [WOS]
    --- YAMANAKA, S. - FUKUSHIMA, M. A branch-and-bound method for absolute value programs. OPTIMIZATION. ISSN 0233-1934, FEB 1 2014, vol. 63, no. 2, p. 305-319. [WOS]
    --- MANGASARIAN, O.L. Absolute value equation solution via dual complementarity. OPTIMIZATION LETTERS. ISSN 1862-4472, APR 2013, vol. 7, no. 4, p. 625-630. [WOS]
    --- WANG, H.J. - LIU, H. - CAO, S.Y. A verification method for enclosing solutions of absolute value equations. COLLECTANEA MATHEMATICA. ISSN 0010-0757, JAN 2013, vol. 64, no. 1, p. 17-38. [WOS]
    --- MANGASARIAN, O.L. Primal-dual bilinear programming solution of the absolute value equation. OPTIMIZATION LETTERS. ISSN 1862-4472, OCT 2012, vol. 6, no. 7, SI, p. 1527-1533. [WOS]
    --- WU, S.L. - GUO, P. On the Unique Solvability of the Absolute Value Equation. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, MAY 2016, vol. 169, no. 2, p. 705-712. [WOS]
    --- FUNG, G.M. - MANGASARIAN, O.L. Unsupervised and Semisupervised Classification Via Absolute Value Inequalities. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, FEB 2016, vol. 168, no. 2, p. 551-558. [WOS]
    --- LI, C.X. - WU, S.L. A note on the unique solution of linear complementarity problem. COGENT MATHEMATICS. ISSN 2331-1835, 2016, vol. 3. [WOS]
    --- YONG, L.Q. Smooth Newton method to absolute value equation based on lower uniform smoothing approximation function. JOURNAL OF INTERDISCIPLINARY MATHEMATICS. ISSN 0972-0502, 2016, vol. 19, no. 1, p. 191-205. [WOS]
    --- LI, J. - QIAO, B.M. a novel Differential Evolution algorithm with K-Means and Simplex Search Method for Absolute Value Equations. 2015 11TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS). 2015, p. 266-269. [WOS]
    --- YONG, L.Q. Iteration Method for Absolute Value Equation and Applications in Two-point Boundary Value Problem of Linear Differential Equation. JOURNAL OF INTERDISCIPLINARY MATHEMATICS. ISSN 0972-0502, 2015, vol. 18, no. 4, p. 355-374. [WOS]
    --- YONG, L.Q. Improved Harmony Search Algorithm based on Cluster for Absolute Value Equation with 2(n) Solutions. 2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC). ISSN 1948-9439, 2015, p. 3770-3775. [WOS]
    --- TANG, J.Y. - ZHOU, J.C. A quadratically convergent descent method for the absolute value equation Ax plus B vertical bar x vertical bar = b. OPERATIONS RESEARCH LETTERS. ISSN 0167-6377, JUL 2019, vol. 47, no. 4, p. 229-234. [WOS]
    --- ACHACHE, M. - TABCHOUCHE, N. A full-Newton step feasible interior-point algorithm for monotone horizontal linear complementarity problems. OPTIMIZATION LETTERS. ISSN 1862-4472, JUL 2019, vol. 13, no. 5, p. 1039-1057. [WOS]
    --- WANG, A. - CAO, Y. - CHEN, J.X. Modified Newton-Type Iteration Methods for Generalized Absolute Value Equations. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, APR 2019, vol. 181, no. 1, p. 216-230. [WOS]
    --- LI, Y. - DU, S.Q. Modified HS conjugate gradient method for solving generalized absolute value equations. JOURNAL OF INEQUALITIES AND APPLICATIONS. ISSN 1029-242X, MAR 19 2019. [WOS]
    --- FENG, J.M. - LIU, S.Y. A new two-step iterative method for solving absolute value equations. JOURNAL OF INEQUALITIES AND APPLICATIONS. ISSN 1029-242X, FEB 19 2019. [WOS]
    --- ZAINALI, N. - LOTFI, T. On developing a stable and quadratic convergent method for solving absolute value equation. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, MAR 1 2018, vol. 330, p. 742-747. [WOS]
    --- WU, S.L. - LI, C.X. The unique solution of the absolute value equations. APPLIED MATHEMATICS LETTERS. ISSN 0893-9659, FEB 2018, vol. 76, p. 195-200. [WOS]
    --- ACHACHE, M. - HAZZAM, N. SOLVING ABSOLUTE VALUE EQUATIONS VIA COMPLEMENTARITY AND INTERIOR-POINT METHODS. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS. ISSN 2052-532X, 2018. [WOS]
    --- HLADIK, M. Bounds for the solutions of absolute value equations. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. ISSN 0926-6003, JAN 2018, vol. 69, no. 1, p. 243-266. [WOS]
    --- ABDALLAH, L. - HADDOU, M. - MIGOT, T. Solving absolute value equation using complementarity and smoothing functions. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, JAN 1 2018, vol. 327, p. 196-207. [WOS]
    --- LI, J. - LIU, J. - WANG, M.L. - WEI, F. A new algorithm for computing all solutions of an absolute value equation. 2017 13TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS). 2017, p. 381-384. [WOS]
    --- LVA, C.Q. - MA, C.F. Picard splitting method and Picard CG method for solving the absolute value equation. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS. ISSN 2008-1898, 2017, vol. 10, no. 7, p. 3643-3654. [WOS]

    Trvalý link: http://hdl.handle.net/11104/0174730
     
Počet záznamů: 1  

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