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Extreme points and optimal measuresHladnik, Milan, 1950- ; Holbrook, JohnV članku je podan nov in bolj učinkovit dokaz našega prejšnjega rezultata, da ima vsaka ▫$2 \times 2$▫ Toeplitzova matrika ▫$M$▫ reprezentirajočo mero, ki je optimalna v smislu, da je ▫$\Vert \mu ... \Vert = \Vert M \Vert_S$▫, kjer je na desni strani norma matrike ▫$M$▫ kot Schurovega multiplikatorja. Pokažemo, da ta rezultat sledi iz elementarnih ugotovitev o ekstremnih točkah enotske krogle v prostoru trigonometričnih trinomov. V nadaljevanju podamo popolno karkaterizacijo takih ekstremnih točk.Source: Linear algebra and its applications. - ISSN 0024-3795 (Vol. 430, 2009, str. 2553-2561)Type of material - article, component partPublish date - 2009Language - englishCOBISS.SI-ID - 15091545
Author
Hladnik, Milan, 1950- |
Holbrook, John
Topics
matematika |
linearna algebra |
Schurova norma |
Toeplitzove matrike |
reprezentirajoče mere |
trigonometrični trinomi |
ekstremne točke |
mathematics |
linear algebra |
Schur norm |
Toeplitz matrices |
representing measures |
trigonometric trinomials |
extreme points
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Hladnik, Milan, 1950- | 03429 |
Holbrook, John | ![]() |
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