Multilinear methods in linear algebra

DOI10.1016/0024-3795(91)90158-SzbMath0722.15030MaRDI QIDQ755852

Marvin Marcus

Publication date: 1991

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

zbMATH Keywords

numerical rangeHadamard productGram matriceslinear preserverstensor spacesmultilinear algebraLDU decompositionstrongly nonsingular matricesWeyl's inequalities

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

A biography of Marvin Marcus

Cites Work

• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• An extremal property of the permanent and the determinant
• Interlacing inequalities. Matrix groups
• Introduction to vectors and tensors. Vol. 1: Linear and multilinear algebra. Vol. 2: Vector and tensor analysis
• Brauer group of a linear algebraic group
• Differential forms. A heuristic introduction
• Multilinear algebra. 2nd ed
• Irreducible sums of simple multivectors
• Wave equations in conformal space
• The cross-space of linear transformations
• Holonomy, Ricci Tensor and Killing Vector Fields
• Constructing symmetric nonnegative matrices
• Matrix Analysis
• Tensor Geometry
• The permanent analogue of the Hadamard determinant theorem
• On permanents of circulants
• The classical groups, their invariants and representations.
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