• In mathematics, and in particular linear algebra, the MoorePenrose inverse ⁠ A + {\displaystyle A^{+}} ⁠ of a matrix ⁠ A {\displaystyle A} ⁠, often called...
    46 KB (7,506 words) - 16:37, 26 September 2024
  • matrix. Bott–Duffin inverse Drazin inverse MoorePenrose inverse Some generalized inverses are defined and classified based on the Penrose conditions: A A...
    15 KB (2,592 words) - 14:14, 25 September 2024
  • Thumbnail for Roger Penrose
    while a doctoral student, Penrose reintroduced the E. H. Moore generalised matrix inverse, also known as the MoorePenrose inverse, after it had been reinvented...
    82 KB (7,521 words) - 19:48, 30 September 2024
  • ^{+}\mathbf {A} ^{-1}} if A has orthonormal columns, where + denotes the MoorePenrose inverse and x is a vector ( A T ) − 1 = ( A − 1 ) T {\displaystyle (\mathbf...
    46 KB (6,986 words) - 16:52, 5 October 2024
  • scientist Roger Penrose: MoorePenrose inverse, the most widely known generalization of the inverse matrix in particular linear algebra Penrose graphical notation...
    2 KB (206 words) - 09:36, 15 January 2024
  • generalize inverse semigroups, the unique element defined this way in a *-regular semigroup is called the generalized inverse or MoorePenrose inverse. All...
    30 KB (4,478 words) - 07:43, 4 July 2024
  • Oliver Penrose FRS FRSE (born 6 June 1929) is a British theoretical physicist. He is the son of the scientist Lionel Penrose and brother of the mathematical...
    5 KB (287 words) - 13:34, 26 June 2024
  • Thumbnail for E. H. Moore
    established a prize in his honor in 2002. MoorePenrose inverse Moore–Smith sequence Moore matrix over a finite field Moore determinant of a Hermitian matrix...
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  • Thumbnail for Spin network
    The diagrammatic notation can thus greatly simplify calculations. Roger Penrose described spin networks in 1971. Spin networks have since been applied...
    12 KB (1,565 words) - 02:05, 23 July 2024
  • })^{1/2}A(D^{+})^{1/2},} where D + {\displaystyle D^{+}} is the MoorePenrose inverse. The elements of L sym {\textstyle L^{\text{sym}}} are thus given...
    45 KB (5,041 words) - 22:13, 30 September 2024