REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS

Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (2): 177-185.

• Articles • Previous Articles Next Articles

REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS

Hou Zongyi, Yang Hongqi

Department of Mathematics, Fudan University, Shanghai 200433, China

Received:1996-04-02 Online:1998-06-25 Published:1998-06-25
Supported by:
This work was supported by the National Natural Science Foundation

Abstract

Hou Zongyi, Yang Hongqi. REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS[J].Acta mathematica scientia,Series B, 1998, 18(2): 177-185.

[1]	Zhiqiang GAO. A NOTE ON EXACT CONVERGENCE RATE IN THE LOCAL LIMIT THEOREM FOR A LATTICE BRANCHING RANDOM WALK [J]. Acta mathematica scientia,Series B, 2018, 38(4): 1259-1268.
[2]	Xiaoli DING, Yaolin JIANG. NONNEGATIVITY OF SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL-ALGEBRAIC EQUATIONS [J]. Acta mathematica scientia,Series B, 2018, 38(3): 756-768.
[3]	Zhou SHENG, Gonglin YUAN, Zengru CUI. A NEW ADAPTIVE TRUST REGION ALGORITHM FOR OPTIMIZATION PROBLEMS [J]. Acta mathematica scientia,Series B, 2018, 38(2): 479-496.
[4]	Huoyuan DUAN, Junhua MA. CONTINUOUS FINITE ELEMENT METHODS FOR REISSNER-MINDLIN PLATE PROBLEM [J]. Acta mathematica scientia,Series B, 2018, 38(2): 450-470.
[5]	Yekini SHEHU, Olaniyi. S. IYIOLA. CONVERGENCE OF HYBRID VISCOSITY AND STEEPEST-DESCENT METHODS FOR PSEUDOCONTRACTIVE MAPPINGS AND NONLINEAR HAMMERSTEIN EQUATIONS [J]. Acta mathematica scientia,Series B, 2018, 38(2): 610-626.
[6]	Xiaoni CHI, Hongjin WEI, Zhongping WAN, Zhibin ZHU. SMOOTHING NEWTON ALGORITHM FOR THE CIRCULAR CONE PROGRAMMING WITH A NONMONOTONE LINE SEARCH [J]. Acta mathematica scientia,Series B, 2017, 37(5): 1262-1280.
[7]	Dehua QIU, Pingyan CHEN, Volodin ANDREI. COMPLETE MOMENT CONVERGENCE FOR L^P-MIXINGALES [J]. Acta mathematica scientia,Series B, 2017, 37(5): 1319-1330.
[8]	Dongyang SHI, Xin LIAO, Lele WANG. A NONCONFORMING QUADRILATERAL FINITE ELEMENT APPROXIMATION TO NONLINEAR SCHRODINGER EQUATION [J]. Acta mathematica scientia,Series B, 2017, 37(3): 584-592.
[9]	Nermina MUJAKOVIC, Nelida CRNJARIC-ZIC. GLOBAL SOLUTION TO 1D MODEL OF A COMPRESSIBLE VISCOUS MICROPOLAR HEAT-CONDUCTING FLUID WITH A FREE BOUNDARY [J]. Acta mathematica scientia,Series B, 2016, 36(6): 1541-1576.
[10]	Jing ZHAO, Shengnan WANG. VISCOSITY APPROXIMATION METHODS FOR THE SPLIT EQUALITY COMMON FIXED POINT PROBLEM OF QUASI-NONEXPANSIVE OPERATORS [J]. Acta mathematica scientia,Series B, 2016, 36(5): 1474-1486.
[11]	Mina JIANG, Suhua LAI, Haiyan YIN, Changjiang ZHU. THE STABILITY OF STATIONARY SOLUTION FOR OUTFLOW PROBLEM ON THE NAVIER-STOKES-POISSON SYSTEM [J]. Acta mathematica scientia,Series B, 2016, 36(4): 1098-1116.
[12]	Y. SHEHU, O. T. MEWOMO, F. U. OGBUISI. FURTHER INVESTIGATION INTO APPROXIMATION OF A COMMON SOLUTION OF FIXED POINT PROBLEMS AND SPLIT FEASIBILITY PROBLEMS [J]. Acta mathematica scientia,Series B, 2016, 36(3): 913-930.
[13]	Ushangi GOGINAVA, Károly NAGY. WEAK TYPE INEQUALITY FOR THE MAXIMAL OPERATOR OF WALSH-KACZMARZ-MARCINKIEWICZ MEANS [J]. Acta mathematica scientia,Series B, 2016, 36(2): 359-370.
[14]	Zhendong LUO. A STABILIZED MIXED FINITE ELEMENT FORMULATION FOR THE NON-STATIONARY INCOMPRESSIBLE BOUSSINESQ EQUATIONS [J]. Acta mathematica scientia,Series B, 2016, 36(2): 385-393.
[15]	Jinfang TANG, Shih-sen CHANG, Min LIU. GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES [J]. Acta mathematica scientia,Series B, 2016, 36(2): 602-613.

REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10