Temat: matrix inversion - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The generalization of some properties of universal matrices
Autorzy:: Hauke, Jan
Krzyszkowska, Jolanta
Powiązania:: https://bibliotekanauki.pl/articles/748120.pdf
Data publikacji:: 1991
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Measures of association
Matrix inversion, generalized inverses
Linear regression
Opis:: .
We consider an k x k universal matrix G introduced by Hellwig (1976). We analyze two problems: the nonsingularity of the matrix G and the sign-consistency of the elements of the vector r = (ri) and of the solutrion b = (bi) to the system Gb = r. Obtained results generalize the results presented by Kolupa (1977, 1980).
Źródło:: Mathematica Applicanda; 1991, 20, 34
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Inversion of Square Matrices in Processors With Limited Calculation Abillities
Autorzy:: Janiszowski, K. B.
Powiązania:: https://bibliotekanauki.pl/articles/908215.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: automatyka
robotyka
exponential matrix series
matrix inversion
neuro-processors
Opis:: An iterative inversion algorithm for a class of square matrices is derived and tested. The inverted matrix can be defined over both real and complex fields. This algorithm is based only on the operations of addition and multiplication. The numerics of the algorithm can cope with a short number representation and therefore can be very useful in the case of processors with limited possibilities, like different neuro-computers and accelerator cards. The quality of inversion can be traced and tested. The algorithm can be used in the case of singular matrices, and then it automatically produces a result that contains the inverse of this part of the processed matrix which can be inverted. An example of the inversion of a six-order square matrix is presented and discussed.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 199-204
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Stability of the Gaussian elimination for special classes of matrices. Part I
Autorzy:: Kiełbasiński, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/747677.pdf
Data publikacji:: 1989
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Direct methods for linear systems and matrix inversion
Matrix norms, conditioning, scaling
Roundoff error
Opis:: .
Part I contains rounding-error analysis of Gaussian elimination for the triangular factorization and for solving linear systems in the case of tridiag-onal symmetric definite matrix.
Źródło:: Mathematica Applicanda; 1989, 17, 31
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: A new method for solving ill-conditioned linear systems
Autorzy:: Soleymani, F.
Powiązania:: https://bibliotekanauki.pl/articles/256033.pdf
Data publikacji:: 2013
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: matrix inversion
linear systems
Hilbert matrix
ill-conditioned
approximate inverse
Opis:: An accurate numerical method is established for matrix inversion. It is shown theoretically that the scheme possesses the high order of convergence of seven. Subsequently, the method is taken into account for solving linear systems of equations. The accuracy of the contributed iterative method is clarified on solving numerical examples when the coefficient matrices are ill-conditioned. All of the computations are performed on a PC using several programs written in MATHEMATICA 7.
Źródło:: Opuscula Mathematica; 2013, 33, 2; 337-344
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Inversion of selected structures of block matrices of chosen mechatronic systems
Autorzy:: Trawiński, T.
Kochan, A.
Kielan, P.
Kurzyk, D.
Powiązania:: https://bibliotekanauki.pl/articles/202402.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: arrowhead matrices
mechatronic systems
matrix inversion
computational complexity
systemy mechatroniczne
złożoność obliczeniowa
grupy macierzy
macierz inwersji
Opis:: This paper describes how to calculate the number of algebraic operations necessary to implement block matrix inversion that occurs, among others, in mathematical models of modern positioning systems of mass storage devices. The inversion method of block matrices is presented as well. The presented form of general formulas describing the calculation complexity of inverted form of block matrix were prepared for three different cases of division into internal blocks. The obtained results are compared with a standard Gaussian method and the “inv” method used in Matlab. The proposed method for matrix inversion is much more effective in comparison in standard Matlab matrix inversion “inv” function (almost two times faster) and is much less numerically complex than standard Gauss method.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 4; 853-863
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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