Approximate solution for integral equations involving linear Toeplitz plus Hankel parts

被引:1
|
作者
Dung, Vu Tien [1 ]
Ha, Quan Thai [1 ]
机构
[1] VNU Univ Sci, Dept Math, 334 Nguyen Trai, Hanoi, Vietnam
来源
COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 05期
关键词
First-kind integral equations; Toeplitz plus Hankel kernels; Ill-posed problem; Lavrentiev and iterative regularizations; Finite Hartley transforms; Parallel splitting-up methods; Monotone inclusion; REGULARIZATION;
D O I
10.1007/s40314-021-01558-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose three approximate methods using regularization techniques and finite Hartley transforms for solving first-kind integral equations involving linear Toeplitz plus Hankel parts. Numerical examples are given for illustrating these new algorithms.
引用
收藏
页数:20
相关论文
共 50 条
  • [1] Approximate solution for integral equations involving linear Toeplitz plus Hankel parts
    Vu Tien Dung
    Quan Thai Ha
    Computational and Applied Mathematics, 2021, 40
  • [2] SOLUTION OF LINEAR EQUATIONS WITH HANKEL AND TOEPLITZ MATRICES
    RISSANEN, J
    NUMERISCHE MATHEMATIK, 1974, 22 (05) : 361 - 366
  • [3] Toeplitz plus Hankel integral equation
    Nguyen Xuan Thao
    Vu Kim Tuan
    Nguyen Thanh Hong
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (10) : 723 - 737
  • [4] Generalized inverses and solution of equations with Toeplitz plus Hankel operators
    Didenko V.D.
    Silbermann B.
    Boletín de la Sociedad Matemática Mexicana, 2016, 22 (2) : 645 - 667
  • [5] On the Toeplitz plus Hankel integral equation II
    Nguyen Xuan Thao
    Vu Kim Tuan
    Hoang Thi Van Anh
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (01) : 75 - 84
  • [6] POLYCONVOLUTION AND THE TOEPLITZ PLUS HANKEL INTEGRAL EQUATION
    Nguyen Xuan Thao
    Nguyen Minh Khoa
    Phi Thi Van Anh
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [7] The finite Hartley new convolutions and solvability of the integral equations with Toeplitz plus Hankel kernels
    Pham Ky Anh
    Nguyen Minh Tuan
    Phan Duc Tuan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 397 (02) : 537 - 549
  • [8] EFFICIENT SOLUTION OF A TOEPLITZ-PLUS-HANKEL COEFFICIENT MATRIX SYSTEM OF EQUATIONS
    MERCHANT, GA
    PARKS, TW
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1982, 30 (01): : 40 - 44
  • [9] SOLUTION OF QUADRUPLE INTEGRAL-EQUATIONS INVOLVING MODIFIED HANKEL FUNCTIONS
    SINGH, BM
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1974, 54 (07): : 439 - 441
  • [10] Approximate solution of the integral equations involving kernel with additional singularity
    Makogin, Vitalii
    Mishura, Yuliya
    Zhelezniak, Hanna
    STOCHASTIC MODELS, 2021, 37 (04) : 549 - 567