Restricted quadratic forms, inertia theorems, and the Schur complement

[1]  M. Hestenes.  Applications of the theory of quadratic forms in Hilbert space to the calculus of variations. , 1951 .

[2]  M. Hestenes.  Calculus of variations and optimal control theory , 1966 .

[3]  E. Haynsworth.  Determination of the inertia of a partitioned Hermitian matrix , 1968 .

[4]  M. Morse.  Subordinate quadratic forms and their complementary forms. , 1971, Proceedings of the National Academy of Sciences of the United States of America.

[5]  H. Weinberger.  Variational Methods for Eigenvalue Approximation , 1974 .

[6]  R. Cottle.  Manifestations of the Schur complement , 1974 .

[7]  T. Markham,et al.  A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse , 1974 .

[8]  Diane Valérie Ouellette.  Schur complements and statistics , 1981 .

[9]  John Gregory.  Quadratic Form Theory and Differential Equations , 1981 .

[10]  J. Crouzeix,et al.  Definiteness and semidefiniteness of quadratic forms revisited , 1984 .

[11]  J. Maddocks.  Errata: Restricted Quadratic Forms and Their Application to Bifurcation and Stability in Constrained Variational Principles , 1985 .

[12]  O. Fujiwara,et al.  An inertia theorem for symmetric matrices and its application to nonlinear programming , 1985 .

[13]  S. P. Han,et al.  On the Hessian of Lagrangian and second order optimality conditions , 1986 .

[14]  Relative eigenvalues of Hermitian matrices , 1986 .

[15]  J. Dancis.  A quantitative formulation of Sylvester's law of inertia. III , 1986 .

[16]  Jan-J. Rückmann,et al.  On inertia and schur complement in optimization , 1987 .

[17]  On the inertias of symmetric matrices and bounded self-adjoint operators , 1988 .