On the minimality of integrity bases for symmetric \(3 \times 3\) matrices

DOI10.1007/BF00252916zbMath0093.01703OpenAlexW2070659471MaRDI QIDQ772222

Gerald F. Smith

Publication date: 1960

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00252916

zbMATH Keywords

linear algebra, polynomials, forms, invariant theory

Related Items

Integrity bases for a symmetric tensor and a vector. The crystal classes, On isotropic integrity bases, Diffusion of fluids through aeolotropic highly elastic solids, Integrity bases for vectors. The crystal classes, On generating functions for the number of invariants of orthogonal tensors, Ordered rate constitutive theories in Lagrangian description for thermoviscoelastic solids without memory, Syzygies relating the invariants for transversely isotropic materials, Ordered rate constitutive theories in Lagrangian description for thermoviscoelastic solids with memory, The generalized Cayley-Hamilton theorem in n dimensions, Reducibility of matrix polynomials and their traces, On the formulation of constitutive equations, Isotropic integrity bases for vectors and second-order tensors, Material symmetry and constitutive equations

Cites Work

• Finite integrity bases for five or fewer symmetric 3 \(\times\) 3 matrices
• Further results in the theory of matrix polynomials
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