AbstractElementary proofs of the van der Waerden conjecture are given for the cases n=3 and n=4. Some partial results are found for the case n=5, and the conjecture is shown true for a special class of matrices
AbstractLet pk(A), k=2,…,n, denote the sum of the permanents of all k×k submatrices of the n×n matri...
AbstractLet Sn (Ωn) be the set of all n × n stochastic (doubly stochastic) matrices, and let Jn deno...
Conjectures on permanents are well-known unsettled conjectures in linear algebra. Let A be an n×n ma...
AbstractA well-known conjecture of Van der Waerden says that for the permanent Per A of an n × n dou...
AbstractElementary proofs of the van der Waerden conjecture are given for the cases n=3 and n=4. Som...
AbstractThe paper consists of two parts. In Part I necessary and sufficient conditions are given for...
AbstractA solution to the van der Waerden conjecture on the minimum of the permanent of doubly stoch...
AbstractIn this paper, we give two different elementary proofs for the inequality which states that ...
The permanent of an $n\times n$ matrix $A=(a_{i j})$ with real entries is defined by the sum $$\sum_...
AbstractThe paper consists of two parts. In Part I necessary and sufficient conditions are given for...
AbstractLet A be a permanent minimizing doubly stochastic matrix. This paper discusses the maximum n...
AbstractLet A be a permanent minimizing doubly stochastic matrix. This paper discusses the maximum n...
AbstractA conjecture on the permanents of doubly stochastic matrices is proposed. Some results suppo...
AbstractWe prove that the mixed discriminant of doubly stochastic n-tuples of semidefinite hermitian...
AbstractThe van der Waerden permanent conjecture is shown to belong to a large family of conjectured...
AbstractLet pk(A), k=2,…,n, denote the sum of the permanents of all k×k submatrices of the n×n matri...
AbstractLet Sn (Ωn) be the set of all n × n stochastic (doubly stochastic) matrices, and let Jn deno...
Conjectures on permanents are well-known unsettled conjectures in linear algebra. Let A be an n×n ma...
AbstractA well-known conjecture of Van der Waerden says that for the permanent Per A of an n × n dou...
AbstractElementary proofs of the van der Waerden conjecture are given for the cases n=3 and n=4. Som...
AbstractThe paper consists of two parts. In Part I necessary and sufficient conditions are given for...
AbstractA solution to the van der Waerden conjecture on the minimum of the permanent of doubly stoch...
AbstractIn this paper, we give two different elementary proofs for the inequality which states that ...
The permanent of an $n\times n$ matrix $A=(a_{i j})$ with real entries is defined by the sum $$\sum_...
AbstractThe paper consists of two parts. In Part I necessary and sufficient conditions are given for...
AbstractLet A be a permanent minimizing doubly stochastic matrix. This paper discusses the maximum n...
AbstractLet A be a permanent minimizing doubly stochastic matrix. This paper discusses the maximum n...
AbstractA conjecture on the permanents of doubly stochastic matrices is proposed. Some results suppo...
AbstractWe prove that the mixed discriminant of doubly stochastic n-tuples of semidefinite hermitian...
AbstractThe van der Waerden permanent conjecture is shown to belong to a large family of conjectured...
AbstractLet pk(A), k=2,…,n, denote the sum of the permanents of all k×k submatrices of the n×n matri...
AbstractLet Sn (Ωn) be the set of all n × n stochastic (doubly stochastic) matrices, and let Jn deno...
Conjectures on permanents are well-known unsettled conjectures in linear algebra. Let A be an n×n ma...