18 Papers
98 Citations
Pál Rózsa is an academic researcher from Budapest University of Technology and Economics. The author has contributed to research in topics: Matrix (mathematics) & Matrix analysis. The author has an hindex of 9, co-authored 18 publications.
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Papers
Transitive matrices and their applications
TL;DR: In this article, the spectral properties of symmetrically reciprocal (SR) matrix perturbations of transitive matrices are studied and the results are applied to a multicriteria decision making method, the analytic hierarchy process (AHP), which uses an SR matrix with positive entries.
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On the Inverse of Block Tridiagonal Matrices with Applications to the Inverses of Band Matrices and Block Band Matrices
Pál Rózsa,Roberto Bevilacqua,Paola Favati,Francesco Romani +3 more
- 01 Jan 1989
Abstract: In the present paper the authors make an attempt to give a uniform description of the main properties of tridiagonal, band, block tridiagonal and block band matrices and their inverses Some basic concepts are recalled and also some new results are presented
23
An explicit formula for singular values of the Sylvester–Kac matrix
Tibor Boros,Pál Rózsa +1 more
TL;DR: In this paper, an explicit formula for a subset of the singular values when the order of the matrix is odd is given. And the polynomial solutions of the second-order differential equation provide the elements of singular vectors.
18
On the spectrum of pairwise comparison matrices
TL;DR: In this paper, the spectrum of symmetric reciprocal perturbations of transitive matrices of nonzero complex entries is derived for the analytic hierarchy process (AHP) using positive SR matrices.
12
Evaluation of monotonic and non-monotonic dissipation test results
TL;DR: The dissipation test evaluation method presented in this paper employs a point-symmetric, linear, coupled consolidation model with a new boundary condition and a new time factor, and an automatic and mathematically precise, non-linear, inverse problem solver which includes some reliability testing methods and a kind of regularization technique, and a method to identify the initial condition.
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