Temat: Matrix equations and identities - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On bound for the solution of the unified algebraic Riccati equation
Autorzy:: Czornik, Adam
Powiązania:: https://bibliotekanauki.pl/articles/747525.pdf
Data publikacji:: 1997
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Algebraic methods
Matrix equations and identities
Single equations
Opis:: .
In recent, years, several bounds of eigenvalues, norms and determinants for solutions of the continuous and discrete Riccati equations have been separately investigated. In this paper, an upper bound for the solution of the unified algebraic Riccati equations is presented. In the limit case, the result is reduced to a new upper bound for t he solution of discrete and continuous Riccati equation.
Źródło:: Mathematica Applicanda; 1997, 26, 40
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A relation between the concepts of transposition, similarity, and symmetry, as well as matrix equations
Autorzy:: Kaczorek, Tadeusz
Powiązania:: https://bibliotekanauki.pl/articles/747820.pdf
Data publikacji:: 2005
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Matrix equations and identities, Eigenvalues, singular values, and eigenvectors
Opis:: The author studies relationships among the notions of transpose, similarity, and symmetrization of matrices. It is shown that a square matrix is similar to its transpose, and that there exists a matrix that, simultaneously, carries this similarity transformation and symmetrizes the matrix. Furthermore, some equalities involving adjoint matrices are established as well. The proofs of the results are formulated for complex matrices, but they are valid also for other algebraically closed fields.
Źródło:: Mathematica Applicanda; 2005, 33, 47/06
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: The theorems of Koenig and Birkhoff and their connection with the minimization of the duration time of the measurements of automatic telecommunication channels
Autorzy:: Perz, Szczepan
Zaremba, Leszek
Powiązania:: https://bibliotekanauki.pl/articles/748569.pdf
Data publikacji:: 1982
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Channel models (including quantum), Discrete-time control systems, Hypergraphs, Matrix equations and identities, Matrices of integers, Stochastic matrices
Opis:: .
A problem (P) of minimization of the duration time of the measurements of automatic telecommunication channels is considered. P is a discrete optimization problem solved by graph theory methods. It is defined by (i)-(v), where: (i) for each i, 1≤i≤p, and j, 1≤1≤p, there are given k ij channels to be measured between node ”i” and node ”j”; (ii) measurement of one channel lasts one unit; (iii) there are exactly two devices, say A, B, in each node (the case where there is an arbitrary number of devices A, B in each node may be easily reduced to this case); (iv) the channel between node ”i” and node ”j” may be measured only by use of device A being present in node ”i” and device B in node ”j”; (v) in each time both devices A or B may measure only one channel. To solve P, some knowledge of hypergraphs as well as functional analysis (the Krein-Milman theorem) and linear algebra (the Koenig theorem) is necessary. The Koenig theorem is proved in a simple manner similarly as the dual Koenig theorem (which is a new result). As corollaries the Birkhoff theorem about bistochastic matrices and the dual Birkhoff theorem are deduced.
Źródło:: Mathematica Applicanda; 1982, 10, 19
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

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