On complex matrix scalings of extremal permanent

DOI10.1016/j.laa.2017.02.008zbMath1361.15036OpenAlexW2593488433MaRDI QIDQ518112

George Hutchinson

Publication date: 28 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.02.008

zbMATH Keywords

positive definite matricesmatrix permanentgeometric measure of entanglementmatrix scaling

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Stochastic matrices (15B51)

Related Items (1)

Scaling positive definite matrices to achieve prescribed eigenpairs

Cites Work

• On the cardinality of complex matrix scalings
• Inequalities for the permanent function
• Differentiators and the geometry of polynomials.
• The theory and applications of complex matrix scalings
• Scaling of matrices to achieve specified row and column sums
• The diagonal equivalence of a nonnegative matrix to a stochastic matrix
• Scaling of symmetric matrices by positive diagonal congruence
• Matrices Derived from Finite Abelian Groups
• A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
• MATRICES OF FINITE ABELIAN GROUPS, FINITE FOURIER TRANSFORM AND CODES
• Reduction of a Matrix with Positive Elements to a Doubly Stochastic Matrix
• Permanents
• The permanent analogue of the Hadamard determinant theorem

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