A multiplication theorem for two-variable positive real matrices
Applications of Mathematics, Tome 30 (1985) no. 4, pp. 291-296.
Voir la notice de l'article dans Czech Digital Mathematics Library
A multiplication-division theorem is derived for the positive real functions of two complex variables. The theorem is generalized to encompass the product of positive real functions of two complex variables. The theorem is generalized to encompass the product of positive real matrices whose elements are functions of two complex variables. PRF and PR matrices occur frequantly in the study of electrical multiports and multivariable systems (such as digital filters).
DOI :
10.21136/AM.1985.104152
Classification :
15A48, 15A54, 94C05
Mots-clés : positive real functions
Mots-clés : positive real functions
@article{10_21136_AM_1985_104152, author = {Reza, Fazlollah M.}, title = {A multiplication theorem for two-variable positive real matrices}, journal = {Applications of Mathematics}, pages = {291--296}, publisher = {mathdoc}, volume = {30}, number = {4}, year = {1985}, doi = {10.21136/AM.1985.104152}, mrnumber = {0795989}, zbl = {0579.94018}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104152/} }
TY - JOUR AU - Reza, Fazlollah M. TI - A multiplication theorem for two-variable positive real matrices JO - Applications of Mathematics PY - 1985 SP - 291 EP - 296 VL - 30 IS - 4 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104152/ DO - 10.21136/AM.1985.104152 LA - en ID - 10_21136_AM_1985_104152 ER -
%0 Journal Article %A Reza, Fazlollah M. %T A multiplication theorem for two-variable positive real matrices %J Applications of Mathematics %D 1985 %P 291-296 %V 30 %N 4 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104152/ %R 10.21136/AM.1985.104152 %G en %F 10_21136_AM_1985_104152
Reza, Fazlollah M. A multiplication theorem for two-variable positive real matrices. Applications of Mathematics, Tome 30 (1985) no. 4, pp. 291-296. doi : 10.21136/AM.1985.104152. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104152/
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