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pro vyhledávání: '"Johnson, Charles P."'
Autor:
Johnson, Charles R., Paparella, Pietro
The longstanding nonnegative inverse eigenvalue problem (NIEP) is to determine which multisets of complex numbers occur as the spectrum of an entry-wise nonnegative matrix. Although there are some well-known necessary conditions, a solution to the NI
Externí odkaz:
http://arxiv.org/abs/2409.07682
Autor:
Furtado, Susana, Johnson, Charles
In decision making a weight vector is often obtained from a reciprocal matrix A that gives pairwise comparisons among n alternatives. The weight vector should be chosen from among efficient vectors for A. Since the reciprocal matrix is usually not co
Externí odkaz:
http://arxiv.org/abs/2407.06878
A $n$-by-$n$ matrix is called totally positive ($TP$) if all its minors are positive and $TP_k$ if all of its $k$-by-$k$ submatrices are $TP$. For an arbitrary totally positive matrix or $TP_k$ matrix, we investigate if the $r$th compound ($1
Externí odkaz:
http://arxiv.org/abs/2405.06069
Autor:
Furtado, Susana, Johnson, Charles
In prioritization schemes, based on pairwise comparisons, such as the Analytical Hierarchy Process, it is necessary to extract a cardinal ranking vector from a reciprocal matrix that is unlikely to be consistent. It is natural to choose such a vector
Externí odkaz:
http://arxiv.org/abs/2404.13713
Autor:
Furtado, Susana, Johnson, Charles
We focus upon the relationship between Hamiltonian cycle products and efficient vectors for a reciprocal matrix $A$, to more deeply understand the latter. This facilitates a new description of the set of efficient vectors (as a union of convex subset
Externí odkaz:
http://arxiv.org/abs/2312.10481
Autor:
Khan, Hikmat, Bouaynaya, Nidhal Carla, Rasool, Ghulam, Travis, Tyler, Thompson, Lacey, Johnson, Charles C.
Historically, the rotorcraft community has experienced a higher fatal accident rate than other aviation segments, including commercial and general aviation. Recent advancements in artificial intelligence (AI) and the application of these technologies
Externí odkaz:
http://arxiv.org/abs/2306.17104
Autor:
Furtado, Susana, Johnson, Charles
In prioritization schemes, based on pairwise comparisons, such as the Analytical Hierarchy Process, it is important to extract a cardinal ranking vector from a reciprocal matrix that is unlikely to be consistent. It is natural to choose such a vector
Externí odkaz:
http://arxiv.org/abs/2305.06479
Autor:
Furtado, Susana, Johnson, Charles
Efficient vectors are the natural set from which to choose a cardinal ranking vector for a pairwise comparison matrix. Such vectors are the key to certain business project selection models. Many ways to construct specific efficient vectors have been
Externí odkaz:
http://arxiv.org/abs/2305.05307
Autor:
Furtado, Susana, Johnson, Charles
The Analytic Hierarchy Process (AHP) is a much discussed method in ranking business alternatives based on empirical and judgemental information. We focus here upon the key component of deducing efficient vectors for a reciprocal matrix of pair-wise c
Externí odkaz:
http://arxiv.org/abs/2305.04886
A list $\Lambda =\{\lambda _{1},\ldots ,\lambda _{n}\}$ of complex numbers (repeats allowed) is said to be \textit{realizable} if it is the spectrum of an entrywise nonnegative matrix $A$. $\Lambda $ is \textit{diagonalizably realizable} if the reali
Externí odkaz:
http://arxiv.org/abs/2301.04701