The Solution of the Metric STRESS and SSTRESS Problems in Multidimensional Scaling Using Newton's Method

No abstract is available for this paper.

• Publication year

  1995

• Venue

  Unknown venue

• Publication date

  1995-01-08

• Fields of study

  Mathematics, Engineering

• Identifiers
  DOI 10.21236/ada445621
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Preconditioners for distance matrix algorithms

  1994influential reference
• Graphical Sensitivity Analysis for Multidimensional Scaling

  1994influential reference
• The Formulation and Solution of Multidimensional Scaling Problems

  1993cited by this paper
• On the Barzilai and Borwein choice of steplength for the gradient method

  1993influential reference
• Molecular conformations from distance matrices

  1993influential reference
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  1993influential reference
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  1993influential reference
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method

  1992cited by this paper
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  1991influential reference
• An evaluation of computational strategies for use in the determination of protein structure from distance constraints obtained by nuclear magnetic resonance.

  1991influential reference
• An alternating projection algorithm for computing the nearest euclidean distance matrix

  1990cited by this paper
• On the limited memory BFGS method for large scale optimization

  1989cited by this paper
• Some numerical experiments with variable-storage quasi-Newton algorithms

  1989cited by this paper
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  1988influential reference
• Distance Geometry and Molecular Conformation

  1988influential reference
• Convergence of the majorization method for multidimensional scaling

  1988influential reference
• The Young-Householder algorithm and the least squares multidimensional scaling of squared distances

  1987influential reference
• Structure and binding of Lennard‐Jones clusters: 13≤N≤147

  1987cited by this paper
• ODRPACK Software for Weighted Orthogonal Distance Regression.

  1987influential reference
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  1984cited by this paper
• Numerical methods for unconstrained optimization and nonlinear equations

  1983cited by this paper
• An Adaptive Nonlinear Least-Squares Algorithm

  1981cited by this paper
• User Guide for Minpack-1

  1980cited by this paper
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  1977influential reference
• Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features

  1977cited by this paper
• A stability analysis for perturbed nonlinear iterative methods

  1976influential reference
• An algorithm for minimization using exact second derivatives

  1973influential reference
• QUANTITATIVE INTERPRETATION OF STRESS IN KRUSKAL'S MULTIDIMENSIONAL SCALING TECHNIQUE

  1971cited by this paper
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  1971influential reference
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  1968cited by this paper
• Some distance properties of latent root and vector methods used in multivariate analysis

  1966cited by this paper
• Nonmetric multidimensional scaling: A numerical method

  1964cited by this paper
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• The analysis of proximities: Multidimensional scaling with an unknown distance function. II

  1962cited by this paper
• The analysis of proximities: Multidimensional scaling with an unknown distance function. I.

  1962influential reference
• Theory and Methods of Scaling.

  1958cited by this paper
• Multidimensional scaling: I. Theory and method

  1952cited by this paper
• Discussion of a set of points in terms of their mutual distances

  1938cited by this paper

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