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Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems

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Published:01 June 1982Publication History
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References

  1. 1 BJORCK, }k. A bidlagonahzation algorithm for solving ill-posed systems of linear equahons Rep LITH-MAT-R-80-33, Dep. Mathematics, Linkopmg Univ., Lmkoping, Sweden, 1980.Google ScholarGoogle Scholar
  2. 2 ELDI~N, L. Algorithms for the regularization of ill-conditioned least squares problems BIT 17 (1977), 134-145.Google ScholarGoogle Scholar
  3. 3 HESTENES, M.R, AND STIEFEL, E Methods of conjugate gradients for solving hneax systems. J Res. N.B.S. 49 (1952), 409-436.Google ScholarGoogle Scholar
  4. 4 LAWSON, C.L, AND HANSON, R.J Solwng Least Squares Problems. Prentice-Hall, Englewood Cliffs, N.J., 1974.Google ScholarGoogle Scholar
  5. 5 LAWSON, C.L, HANSON, R J., KINCAID, D.R, AND KROGH, F T Basic linear algebra subprograms for Fortran usage ACM Trans Math Softw 5, 3 (Sept 1979), 308-323 and (Algorithm) 324-325. Google ScholarGoogle Scholar
  6. 6 PAIGE, C.C., AND SAUNDERS, M A LSQR An algomthm for sparse hnear equations and sparse least squares ACM Trans Math Softw 8, 1 (March 1982), 43-71 Google ScholarGoogle Scholar
  7. 7 SMITH, G., AND CAMPBELL, V. A critique of some ridge regression methods. J. Am. Star. Assoc. 75, 369 (March 1980), 74-81Google ScholarGoogle Scholar
  8. 8 VARAH, J.M A practical examination of some numerical methods for linear discrete ill-posed problems SIAM Rev. 21 (1979), 100-111.Google ScholarGoogle Scholar
  9. 9 WOLD, S., WOLD, H., DUNN, W.J., AND RUHE, A. The coUinearity problem in linear and nonlinear regression. The partial least squares (PLS) approach to generalized inverses. Rep. UMINF-83.80, Univ. Ume~, Ume~, Sweden, 1980.Google ScholarGoogle Scholar
  10. PAIGE, C.C. AND SAUNDERS, M.A. LSQR: AN ALGOR~T~ FOR SPARSE LINEAR EQUATIONS AND SPARSE LEAST SQUARES. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 8, 1 (MARCH 1982). Google ScholarGoogle Scholar
  11. LAWSON, C.L., HANSON, R.J., K~NCAID, D.R. AND KROGH, F.T. BASIC LINEAR ALGEBRA SUBPROGRAMS FOR FORTRAN USAGE. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 5, 3 (SEPT 1979), 3@8-323 AND 324-325. Google ScholarGoogle Scholar

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  1. Algorithm 583: LSQR: Sparse Linear Equations and Least Squares Problems

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              cover image ACM Transactions on Mathematical Software
              ACM Transactions on Mathematical Software  Volume 8, Issue 2
              June 1982
              129 pages
              ISSN:0098-3500
              EISSN:1557-7295
              DOI:10.1145/355993
              Issue’s Table of Contents

              Copyright © 1982 ACM

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              Association for Computing Machinery

              New York, NY, United States

              Publication History

              • Published: 1 June 1982
              Published in toms Volume 8, Issue 2

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