Restricted quadratic forms, inertia theorems, and the Schur complement
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Publication:1107601
DOI10.1016/0024-3795(88)90177-2zbMath0653.15020OpenAlexW2132929299MaRDI QIDQ1107601
Publication date: 1988
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1903/4627
Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Quadratic and bilinear forms, inner products (15A63)
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Cites Work
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- Definiteness and semidefiniteness of quadratic forms revisited
- An inertia theorem for symmetric matrices and its application to nonlinear programming
- A quantitative formulation of Sylvester's law of inertia. III
- Relative eigenvalues of Hermitian matrices
- On inertia and Schur complement in optimization
- Schur complements and statistics
- Quadratic form theory and differential equations
- Manifestations of the Schur complement
- Determination of the inertia of a partitioned Hermitian matrix
- Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
- On the Hessian of Lagrangian and Second Order Optimality Conditions
- Errata: Restricted Quadratic Forms and Their Application to Bifurcation and Stability in Constrained Variational Principles
- A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
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