نتایج جستجو برای: block matrix

تعداد نتایج: 513605  

The main results of this paper are generalizations of classical results from the numerical range to the block numerical range. A different and simpler proof for the Perron-Frobenius theory on the block numerical range of an irreducible nonnegative matrix is given. In addition, the Wielandt's lemma and the Ky Fan's theorem on the block numerical range are extended.

Journal: :Linear Algebra and its Applications 1973

Journal: :SIAM Journal on Matrix Analysis and Applications 2017

Journal: :Journal of Computational and Applied Mathematics 1996

Journal: :Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics 1966

Journal: :International Journal of Mathematics 2009

Journal: :SIAM Journal on Matrix Analysis and Applications 1998

2017
R. Balaji Ravindra B. Bapat

In this paper, block distance matrices are introduced. Suppose F is a square block matrix in which each block is a symmetric matrix of some given order. If F is positive semidefinite, the block distance matrix D is defined as a matrix whose (i, j)-block is given by Dij = Fii+Fjj−2Fij . When each block in F is 1 × 1 (i.e., a real number), D is a usual Euclidean distance matrix. Many interesting ...

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