Stationary values of the ratio of quadratic forms subject to linear constraints

DOI10.1007/BF01627939zbMath0206.16806MaRDI QIDQ2542666

Richard Underwood, Gene H. Golub

Publication date: 1970

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Probabilistic methods, stochastic differential equations (65C99) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis (65-00)

Related Items (8)

Maximizing bilinear forms subject to linear constraints ⋮ On inhomogeneous eigenvalue problems. I ⋮ Restricted rank modification of the symmetric eigenvalue problem: Theoretical considerations ⋮ The AAAtrig Algorithm for Rational Approximation of Periodic Functions ⋮ Sloshing frequencies for a half-space with circular or strip-like aperture ⋮ Stationary values of the ratio of quadratic forms subject to linear constraints ⋮ Imposing curvature restrictions on flexible functional forms ⋮ Bibliography in fractional programming

Cites Work

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• Numerical methods for solving linear least squares problems
• The QR and QL algorithms for symmetric matrices
• Reduction of the symmetric eigenproblem \(Ax =\lambda Bx\) and related problems to standard form
• Householder's tridiagonalization of a symmetric matrix
• Sloshing frequencies for a half-space with circular or strip-like aperture
• Stationary values of the ratio of quadratic forms subject to linear constraints
• Householder's Method for the Solution of the Algebraic Eigenproblem
• Calculating the Singular Values and Pseudo-Inverse of a Matrix

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