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绝对值方程的唯一可解性 被引量:5

Unique Solvability of Absolute Value Equations
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摘要 研究绝对值方程唯一可解的条件。基于与垂直线性互补的等价性,得到了一个新的充分条件。又基于与线性互补的关系,得到了绝对值方程唯一可解的充要条件。 With the unique solvability of absolute value equations,based on the equivalence between absolute value equations and vertical linear complementarity problem,the sufficient condition is given.Based on the equivalence between absolute value equations and linear complementarity problem,the necessary and sufficient condition is given.
出处 《科学技术与工程》 2010年第34期8501-8502,共2页 Science Technology and Engineering
关键词 绝对值方程 垂直线性互补问题 线性互补问题 唯一可解性 absolute value equations vertical linear complementarity problem linear complementarity problem unique solvability
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参考文献7

  • 1Rohn J. A theorem of the altematives for the equation Ax + B | x | = b. Linear and Multilinear Algebra, 2004 ; 52 ( 6 ) :421-426. 被引量:1
  • 2Mangasarian O, Meyer R. Absolute value equations. Linear Algebra Appl, 2006 ; 419:359--367. 被引量:1
  • 3Rex G, Rohn J. Sufficient conditions for regul-arity and singularity of interval matrices. SI-AM J Matrix Anal, 1999 ; 20:437-445. 被引量:1
  • 4Mangasarian O. A generalized Newton method for absolute value equations. Optim Lett,2009 ; 3 : 101--108. 被引量:1
  • 5王爱祥,王海军.绝对值方程的区间算法[J].贵州大学学报(自然科学版),2010,27(2):7-10. 被引量:15
  • 6Zhang C, Wei Q. Global and finite convergen-ee of a generalized Newton method for abso-lute value equations. J Optim Theory Appl, 2009 ; 143:391-403. 被引量:1
  • 7张超,修乃华.关于扩展的垂直线性互补问题的V-P性质[J].北方交通大学学报,2003,27(6):86-91. 被引量:2

二级参考文献8

  • 1Fiedler M Pták V.Some Genaralization of Positive Definiteness and Monotonicity[J].Numer. Math.,1966,(9):163-172. 被引量:1
  • 2Rohn J.A theorem of the alternatives for the equation Ax+B|x|=b[J].Linear and Multilinear Algebra,2004,52(6):421-426. 被引量:1
  • 3Mangasarian O L,Meyer R R.Absolute value equations[J].Linear Algebra Appl,2006(419):359-367. 被引量:1
  • 4Mangasarian O L.A generalized Newton method for absolute value equations[J].Optim Lett,2009(3):101-108. 被引量:1
  • 5Moore R E.Methods and applications of interval analysis[M].Philadelphia:SIAM,1979. 被引量:1
  • 6Moore R E,Kearfott R B,Cloud M J.Introduction to interval analysis[M].Philadelphia:SIAM,2009. 被引量:1
  • 7Shen Zuhe.A class of componentwise Krawczyk-Moore type iteration methods[J].Computing,1989(41):149-152. 被引量:1
  • 8王海军,曹德欣,李苏北,邓喀中.非线性等式约束全局优化问题的区间算法[J].中国矿业大学学报,2003,32(2):204-208. 被引量:9

共引文献15

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  • 1李述刚,刘焱,侯旭杰.香酥鱼骨的加工工艺探讨[J].塔里木农垦大学学报,2004,16(4):85-88. 被引量:15
  • 2李亚娜,林永成,佘志刚.响应面分析法优化羊栖菜多糖的提取工艺[J].华南理工大学学报(自然科学版),2004,32(11):28-32. 被引量:151
  • 3韩清华,李树君,马季威,赵东林.微波真空干燥膨化苹果脆片的研究[J].农业机械学报,2006,37(8):155-158. 被引量:97
  • 4Mangasarian O, Meyer R. Absolute value equations[J]. Linear Algebra Appl, 2006, 419: 359-367. 被引量:1
  • 5Rohn J. A theorem of the alternatives for the equation Ax+B|x|=b[J]. Linear and Muhilinear Algebra, 2004, 52(6): 421-426. 被引量:1
  • 6Prokopyev O. On equivalent reformulations f-or absolute value equations[J]. Comput Optim Appl, 2009, 44: 363-372. 被引量:1
  • 7Mangasarian O. Absolute value programming[J]. Comput Optim Appl, 2007, 36(1): 43-53. 被引量:1
  • 8Mangasarian O. Knapsack feasibility as an ab-solute value equation solvable by successive linear programming[J]. Optim Lett, 2009 (3): 161-170. 被引量:1
  • 9M angasarian O. A generalized Newton metho-d for absolute value equations[J]. Optim Lett, 2009(3): 101-108. 被引量:1
  • 10Mangasarian 0 L, Absolute Value Equation Solution via Dual Complementarity[ R/OL]. Madison:University of Wis- consin,2011 [ 2011-09-253. ftp ://ftpl cs. wisc. edu/pub/dmi/tech-reports/11-03, ps. 被引量:1

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