DOI: 10.1137/0908085. A Stable and Efficient Algorithm for Nonlinear Orthogonal Distance Regression

A Stable and Efficient Algorithm for Nonlinear Orthogonal Distance Regression

10.1137/0908085

Crossref journal-article

Society for Industrial & Applied Mathematics (SIAM)

SIAM Journal on Scientific and Statistical Computing (351)

Bibliography

Boggs, P. T., Byrd, R. H., & Schnabel, R. B. (1987). A Stable and Efficient Algorithm for Nonlinear Orthogonal Distance Regression. SIAM Journal on Scientific and Statistical Computing, 8(6), 1052â1078.

Authors 3

Paul T. Boggs (first)
Richard H. Byrd (additional)
Robert B. Schnabel (additional)

References 23 Referenced 294

{'key': 'RBAR74', 'volume-title': 'Nonlinear parameter estimation', 'author': 'Bard Yonathan', 'year': '1974'} / Nonlinear parameter estimation by Bard Yonathan (1974)
10.1080/00401706.1973.10489037
10.1145/355958.355965
{'key': 'RDENS83', 'volume-title': 'Numerical methods for unconstrained optimization and nonlinear equations', 'author': 'Dennis, Jr. John E.', 'year': '1983'} / Numerical methods for unconstrained optimization and nonlinear equations by Dennis, Jr. John E. (1983)
{'key': 'RFIAM68', 'volume-title': 'Nonlinear programming: Sequential unconstrained minimization techniques', 'author': 'Fiacco Anthony V.', 'year': '1968'} / Nonlinear programming: Sequential unconstrained minimization techniques by Fiacco Anthony V. (1968)
10.1002/9780470316665
10.1145/356056.356066
{'key': 'RGOLV83', 'volume-title': 'Matrix computations', 'author': 'Golub Gene H.', 'year': '1983'} / Matrix computations by Golub Gene H. (1983)
{'key': 'RKENSO83', 'volume-title': 'The advanced theory of statistics. Vol. 3', 'author': 'Kendall M. G.', 'year': '1983'} / The advanced theory of statistics. Vol. 3 by Kendall M. G. (1983)
10.1093/biomet/71.3.569
{'key': 'RLAWH74', 'volume-title': 'Solving least squares problems', 'author': 'Lawson Charles L.', 'year': '1974'} / Solving least squares problems by Lawson Charles L. (1974)
{'key': 'RLUE73', 'volume-title': 'Introduction to Linear and Nonlinear Programming', 'author': 'Luenberger D. G.', 'year': '1973'} / Introduction to Linear and Nonlinear Programming by Luenberger D. G. (1973)
10.1016/0047-259X(71)90013-3
10.1007/BFb0067700
10.1137/0904038
{'key': 'RORTR70', 'volume-title': 'Iterative solution of nonlinear equations in several variables', 'author': 'Ortega J. M.', 'year': '1970'} / Iterative solution of nonlinear equations in several variables by Ortega J. M. (1970)
10.1093/comjnl/15.2.148
10.1016/B978-0-12-468650-2.50005-5
10.1145/6187.6192
10.1137/0722003
10.1080/00401706.1985.10488009
{'key': 'RSTE73', 'volume-title': 'Introduction to matrix computations', 'author': 'Stewart, III G. W.', 'year': '1973'} / Introduction to matrix computations by Stewart, III G. W. (1973)
10.1007/978-3-0348-9321-3_38

Dates

Type	When
Created	20 years, 6 months ago (March 1, 2005, 3:33 a.m.)
Deposited	8 years, 7 months ago (Jan. 29, 2017, 9:18 a.m.)
Indexed	22 hours, 29 minutes ago (Aug. 31, 2025, 6:05 a.m.)
Issued	37 years, 10 months ago (Nov. 1, 1987)
Published	37 years, 10 months ago (Nov. 1, 1987)
Published Print	37 years, 10 months ago (Nov. 1, 1987)

Funders 0

None

BibTeX

@article{Boggs_1987, title={A Stable and Efficient Algorithm for Nonlinear Orthogonal Distance Regression}, volume={8}, ISSN={2168-3417}, url={http://dx.doi.org/10.1137/0908085}, DOI={10.1137/0908085}, number={6}, journal={SIAM Journal on Scientific and Statistical Computing}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Boggs, Paul T. and Byrd, Richard H. and Schnabel, Robert B.}, year={1987}, month=nov, pages={1052–1078} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        31
      ]
    ],
    "date-time": "2025-08-31T10:05:41Z",
    "timestamp": 1756634741817
  },
  "reference-count": 23,
  "publisher": "Society for Industrial & Applied Mathematics (SIAM)",
  "issue": "6",
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1987,
        11
      ]
    ]
  },
  "DOI": "10.1137/0908085",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2005,
        3,
        1
      ]
    ],
    "date-time": "2005-03-01T08:33:28Z",
    "timestamp": 1109666008000
  },
  "page": "1052-1078",
  "source": "Crossref",
  "is-referenced-by-count": 294,
  "title": "A Stable and Efficient Algorithm for Nonlinear Orthogonal Distance Regression",
  "prefix": "10.1137",
  "volume": "8",
  "author": [
    {
      "given": "Paul T.",
      "family": "Boggs",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "Richard H.",
      "family": "Byrd",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Robert B.",
      "family": "Schnabel",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "351",
  "reference": [
    {
      "key": "RBAR74",
      "volume-title": "Nonlinear parameter estimation",
      "author": "Bard Yonathan",
      "year": "1974"
    },
    {
      "key": "RBRIL73",
      "doi-asserted-by": "publisher",
      "DOI": "10.1080/00401706.1973.10489037"
    },
    {
      "key": "RDENGW81",
      "doi-asserted-by": "publisher",
      "DOI": "10.1145/355958.355965"
    },
    {
      "key": "RDENS83",
      "volume-title": "Numerical methods for unconstrained optimization and nonlinear equations",
      "author": "Dennis, Jr. John E.",
      "year": "1983"
    },
    {
      "key": "RFIAM68",
      "volume-title": "Nonlinear programming: Sequential unconstrained minimization techniques",
      "author": "Fiacco Anthony V.",
      "year": "1968"
    },
    {
      "key": "RFUL86",
      "doi-asserted-by": "publisher",
      "DOI": "10.1002/9780470316665"
    },
    {
      "key": "RGAY84",
      "doi-asserted-by": "publisher",
      "DOI": "10.1145/356056.356066"
    },
    {
      "key": "RGOLV83",
      "volume-title": "Matrix computations",
      "author": "Golub Gene H.",
      "year": "1983"
    },
    {
      "key": "RKENSO83",
      "volume-title": "The advanced theory of statistics. Vol. 3",
      "author": "Kendall M. G.",
      "year": "1983"
    },
    {
      "key": "RLAKG84",
      "doi-asserted-by": "publisher",
      "DOI": "10.1093/biomet/71.3.569"
    },
    {
      "key": "RLAWH74",
      "volume-title": "Solving least squares problems",
      "author": "Lawson Charles L.",
      "year": "1974"
    },
    {
      "key": "RLUE73",
      "volume-title": "Introduction to Linear and Nonlinear Programming",
      "author": "Luenberger D. G.",
      "year": "1973"
    },
    {
      "key": "RMOR71",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/0047-259X(71)90013-3"
    },
    {
      "key": "RMOR77",
      "doi-asserted-by": "publisher",
      "DOI": "10.1007/BFb0067700"
    },
    {
      "key": "RMORS81",
      "doi-asserted-by": "publisher",
      "DOI": "10.1137/0904038"
    },
    {
      "key": "RORTR70",
      "volume-title": "Iterative solution of nonlinear equations in several variables",
      "author": "Ortega J. M.",
      "year": "1970"
    },
    {
      "key": "RPOWM72",
      "doi-asserted-by": "publisher",
      "DOI": "10.1093/comjnl/15.2.148"
    },
    {
      "key": "RPOW75",
      "doi-asserted-by": "publisher",
      "DOI": "10.1016/B978-0-12-468650-2.50005-5"
    },
    {
      "key": "RSCHKW86",
      "doi-asserted-by": "publisher",
      "DOI": "10.1145/6187.6192"
    },
    {
      "key": "RSCHSB85",
      "doi-asserted-by": "publisher",
      "DOI": "10.1137/0722003"
    },
    {
      "key": "RSCHT85",
      "doi-asserted-by": "publisher",
      "DOI": "10.1080/00401706.1985.10488009"
    },
    {
      "key": "RSTE73",
      "volume-title": "Introduction to matrix computations",
      "author": "Stewart, III G. W.",
      "year": "1973"
    },
    {
      "key": "RWAT85",
      "doi-asserted-by": "publisher",
      "DOI": "10.1007/978-3-0348-9321-3_38"
    }
  ],
  "container-title": "SIAM Journal on Scientific and Statistical Computing",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "http://epubs.siam.org/doi/pdf/10.1137/0908085",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2017,
        1,
        29
      ]
    ],
    "date-time": "2017-01-29T14:18:10Z",
    "timestamp": 1485699490000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "http://epubs.siam.org/doi/10.1137/0908085"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1987,
        11
      ]
    ]
  },
  "references-count": 23,
  "journal-issue": {
    "issue": "6",
    "published-print": {
      "date-parts": [
        [
          1987,
          11
        ]
      ]
    }
  },
  "alternative-id": [
    "10.1137/0908085"
  ],
  "URL": "http://dx.doi.org/10.1137/0908085",
  "relation": {},
  "ISSN": [
    "0196-5204",
    "2168-3417"
  ],
  "subject": [],
  "container-title-short": "SIAM J. Sci. and Stat. Comput.",
  "published": {
    "date-parts": [
      [
        1987,
        11
      ]
    ]
  }
}