메뉴 건너뛰기




Volumn 282, Issue , 2016, Pages 204-215

Linear least squares problems involving fixed knots polynomial splines and their singularity study

Author keywords

Convex optimisation; Linear least squares problems; Non singularity analysis; Polynomial splines; Signal approximation

Indexed keywords

CONVEX OPTIMIZATION; MATRIX ALGEBRA; OPTIMIZATION; POLYNOMIAL APPROXIMATION; POLYNOMIALS; SIGNAL PROCESSING; SURFACE RECONSTRUCTION;

EID: 84959441041     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2016.02.011     Document Type: Article
Times cited : (4)

References (16)
  • 1
    • 0004236492 scopus 로고    scopus 로고
    • Johns Hopkins Studies in the Mathematical Sciences Johns Hopkins University Press
    • G. Golub, and C. Van Loan Matrix Computations Johns Hopkins Studies in the Mathematical Sciences 1996 Johns Hopkins University Press
    • (1996) Matrix Computations
    • Golub, G.1    Van Loan, C.2
  • 2
    • 0003289778 scopus 로고
    • Solving Least Squares Problems
    • Society for Industrial and Applied Mathematics (SIAM) Philadelphia, PA
    • C.L. Lawson, and R.J. Hanson Solving Least Squares Problems Classics in Applied Mathematics 15 1995 Society for Industrial and Applied Mathematics (SIAM) Philadelphia, PA
    • (1995) Classics in Applied Mathematics , vol.15
    • Lawson, C.L.1    Hanson, R.J.2
  • 3
    • 18144440986 scopus 로고    scopus 로고
    • The calculation of linear least squares problems
    • A. Bjorck The calculation of linear least squares problems Acta Numer.a 13 2004 1 53
    • (2004) Acta Numer.a , vol.13 , pp. 1-53
    • Bjorck, A.1
  • 5
    • 84968470175 scopus 로고
    • Algorithms for piecewise polynomials and splines with free knots
    • G. Meinardus, G. Nürnberger, M. Sommer, and H. Strauss Algorithms for piecewise polynomials and splines with free knots Math. Comput. 53 1989 235 247
    • (1989) Math. Comput. , vol.53 , pp. 235-247
    • Meinardus, G.1    Nürnberger, G.2    Sommer, M.3    Strauss, H.4
  • 6
    • 84912207181 scopus 로고
    • Uniform approximation by Chebyshev spline functions. II: Free knots
    • L. Schumaker Uniform approximation by Chebyshev spline functions. II: Free knots SIAM J. Numer. Anal. 5 1968 647 656
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 647-656
    • Schumaker, L.1
  • 7
    • 78649251478 scopus 로고    scopus 로고
    • Characterization theorem for best linear spline approximation with free knots
    • N. Sukhorukova, and J. Ugon Characterization theorem for best linear spline approximation with free knots Dyn. Contin. Discret. Impuls. Syst. 17 5 2010 687 708
    • (2010) Dyn. Contin. Discret. Impuls. Syst. , vol.17 , Issue.5 , pp. 687-708
    • Sukhorukova, N.1    Ugon, J.2
  • 9
    • 38249026453 scopus 로고
    • Uniform approximation by generalized splines with free knots
    • G. Nürnberger, L. Schumaker, M. Sommer, and H. Strauss Uniform approximation by generalized splines with free knots J. Approx. Theory 59 2 1989 150 169 http://dx.doi.org/10.1016/0021-9045(89)90150-0
    • (1989) J. Approx. Theory , vol.59 , Issue.2 , pp. 150-169
    • Nürnberger, G.1    Schumaker, L.2    Sommer, M.3    Strauss, H.4
  • 10
    • 0040749593 scopus 로고    scopus 로고
    • Bivariate segment approximation and free knot splines: Research problems 96-4
    • P. Borwein, I. Daubechies, V. Totik, and G. Nürnberger Bivariate segment approximation and free knot splines: Research problems 96-4 Constr. Approx. 12 4 1996 555 558
    • (1996) Constr. Approx. , vol.12 , Issue.4 , pp. 555-558
    • Borwein, P.1    Daubechies, I.2    Totik, V.3    Nürnberger, G.4
  • 14
    • 0003852590 scopus 로고    scopus 로고
    • Numerical Methods for Least Squares Problems
    • Society for Industrial and Applied Mathematics
    • A. Bjõrck Numerical Methods for Least Squares Problems Handbook of Numerical Analysis 1996 Society for Industrial and Applied Mathematics
    • (1996) Handbook of Numerical Analysis
    • Bjõrck, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.