On extending determinantal identities

DOI10.1016/0024-3795(90)90060-PzbMath0702.15002MaRDI QIDQ914783

Günter W. Mühlbach

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Schur complementdeterminantSylvester's identitydeterminental identitiesElimination strategiesKarlin's identityMuir's law of extensible minors

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (5)

On some determinantal identities formation laws ⋮ Can Sylvester's determinantal identity, equivalently Muir's law of extensible minors be generalized? ⋮ Sir Thomas Muir, 1844--1934 ⋮ A generalization of Mühlbach's extension principle for determinantal identities ⋮ A general determinantal identity of Sylvester type and some applications

Cites Work

• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• A generalization of Sylvester's identity on determinants and some applications
• A recurrence relation for Chebyshevian B-splines
• Generalized Schur-complements and a test for total positivity
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