AbstractThe paper consists of two parts. In Part I necessary and sufficient conditions are given for the inequality of the title to hold (Theorem I). In Part II an application is made to the van der Waerden permanent conjecture which yields a larger class of matrices than known heretofore for which the conjecture holds (Theorem II)
AbstractA well-known conjecture of Van der Waerden says that for the permanent Per A of an n × n dou...
Conjectures on permanents are well-known unsettled conjectures in linear algebra. Let A be an n×n ma...
If A is an n×n matrix and q a complex number, then the q-permanent of A is defined as per<SUB>q</SUB...
AbstractThe paper consists of two parts. In Part I necessary and sufficient conditions are given for...
AbstractElementary proofs of the van der Waerden conjecture are given for the cases n=3 and n=4. Som...
AbstractThe van der Waerden permanent conjecture is shown to belong to a large family of conjectured...
AbstractA solution to the van der Waerden conjecture on the minimum of the permanent of doubly stoch...
AbstractElementary proofs of the van der Waerden conjecture are given for the cases n=3 and n=4. Som...
AbstractA recent conjecture of Caputo, Carlen, Lieb, and Loss, and, independently, of the author, st...
abstract: Van der Waerden’s Theorem asserts that for any two positive integers k and r, one may find...
AbstractLet A be a permanent minimizing doubly stochastic matrix. This paper discusses the maximum n...
A proof of the statement per(A ∘ B) ≤ per(A)per(B) is given for 4 × 4 positive semidefinite real mat...
The permanent of an $n\times n$ matrix $A=(a_{i j})$ with real entries is defined by the sum $$\sum_...
AbstractLet A be a fully indecomposable, nonnegative matrix of order n with row sums rl,rn, and let ...
AbstractIn this paper, we give two different elementary proofs for the inequality which states that ...
AbstractA well-known conjecture of Van der Waerden says that for the permanent Per A of an n × n dou...
Conjectures on permanents are well-known unsettled conjectures in linear algebra. Let A be an n×n ma...
If A is an n×n matrix and q a complex number, then the q-permanent of A is defined as per<SUB>q</SUB...
AbstractThe paper consists of two parts. In Part I necessary and sufficient conditions are given for...
AbstractElementary proofs of the van der Waerden conjecture are given for the cases n=3 and n=4. Som...
AbstractThe van der Waerden permanent conjecture is shown to belong to a large family of conjectured...
AbstractA solution to the van der Waerden conjecture on the minimum of the permanent of doubly stoch...
AbstractElementary proofs of the van der Waerden conjecture are given for the cases n=3 and n=4. Som...
AbstractA recent conjecture of Caputo, Carlen, Lieb, and Loss, and, independently, of the author, st...
abstract: Van der Waerden’s Theorem asserts that for any two positive integers k and r, one may find...
AbstractLet A be a permanent minimizing doubly stochastic matrix. This paper discusses the maximum n...
A proof of the statement per(A ∘ B) ≤ per(A)per(B) is given for 4 × 4 positive semidefinite real mat...
The permanent of an $n\times n$ matrix $A=(a_{i j})$ with real entries is defined by the sum $$\sum_...
AbstractLet A be a fully indecomposable, nonnegative matrix of order n with row sums rl,rn, and let ...
AbstractIn this paper, we give two different elementary proofs for the inequality which states that ...
AbstractA well-known conjecture of Van der Waerden says that for the permanent Per A of an n × n dou...
Conjectures on permanents are well-known unsettled conjectures in linear algebra. Let A be an n×n ma...
If A is an n×n matrix and q a complex number, then the q-permanent of A is defined as per<SUB>q</SUB...
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