M. Ando and M. H. Shih. Simultaneous contractibility. siam journal on matrix analysis and applications. Linear Algebra and its Applications, 19:487--498, 1998. Home/Search Document Not in Database Summary Related Articles Check |
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Coordination of Groups of Mobile Autonomous Agents Using.. - Jadbabaie, Lin, Morse (2002) (12 citations) (Correct)
....space of real mm matrices. It turns out that #M does not depend on the choice of norm because all norms on a finite dimensional space are equivalent. On the other hand, a tight su#cient condition for the existence of a common quadratic Lyapunov function for the matrices in is #M [0, [30]. This condition is tight in the sense that one can find a finite set of m m matrices with joint spectral radius # = whose infinite products converge to zero despite the fact that there does not exist common quadratic Lyapunov function for the set. 9 From this one can draw the conclusion ....
M. Ando and M. H. Shih. Simultaneous contractibility. siam journal on matrix analysis and applications. Linear Algebra and its Applications, 19:487--498, 1998.
Scale-Space for Discrete Signals - Lindeberg (1990) (29 citations) (Correct)
....mentioned. The pioneer in the subject of variation diminishing transforms was I.J. Schoenberg. He studied the subject in a series of papers from 1930 to 1953 [20] 21] 22] Later the theory of total positivity has been covered in a monumental monograph by Karlin [13] A recent paper by Ando [2] reviews the eld using skew symmetric vector products and Schur complements of matrices as major tools. The questions issued in this paper constitute a new application of these not too well known but very powerful results. Theorem 1 A discrete kernel K : Z R is a scale space kernel if and only ....
Ando T. (1987) \Totally Positive Matrices", Linear Algebra and its Applications, 90, pp165-219. 27
Completeness Of Real Toda Flows And Totally Positive Matrices - Gekhtman, Shapiro (Correct)
....: i k ; j 1 j 2 : j k is nontrivial if and only if i 1 j 1 ; i k j k . Definition. An element from N Gamma is called N Gamma totally positive if all its nontrivial minors are positive. For a detailed exposition of properties of totally nonnegative matrices see, e.g. [A, K]. In particular, we shall use the following result, which is a corollary of Theorem 3.1, Chapter 2 from [K] To prove that (M) is N Gamma totally positive it is sufficient to show that for any k = 0; N Gamma 1 all minors M 0: k i: i k ( i = 0; N Gamma k) are nonzero and ....
Ando, T.: Totally positive matrices. Linear Algebra and Its Applications 90, 165--219 (1987)
Majorization, Polyhedra and Statistical Testing Problems. - Dahl (1997) (Correct)
....= 1, n. If, in addition, equality holds for k = n, then x is majorized by y and we write x # y. Both # and #w are preorderings that reAEect how ispread outj the components of the vectors are. These concepts play an important role in dioeerent areas of mathematics and statistics, see [10] [1] and other papers # Institute of Informatics, University of Oslo, P.O.Box 1080, Blindern, 0316 Oslo, Norway (Email:geird i .uio.no) in the special issue of Linear Algebra and Its Appl. Volume 199, 1994) in honor of I. Olkin. There are interesting (convex) polyhedra that are related to (weak) ....
....to test, based on the observed value of Z, the null hypothesis H 0 : r = p against the alternative H 1 : r = q. A test is a rule which speci es whether H 0 should be rejected (and thereby claiming that q is the true distribution) More precisely, a test is simply a function # : 1, n # [0, 1] where # j is the probability of rejection when Z = j is observed. We also view # as a vector in IR n , so # = # 1 , # n ) The level of a test # is de ned as P n j=1 # j p j and the power of # is P n j=1 # j q j . The level is equal to the probability of rejection when r = p ....
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T. Ando. Majorization and inequalities in matrix theory. Linear algebra and its Applications, 199:1767, 1994.
Matrix Majorization - Dahl (1998) (Correct)
....by the theorem of Hardy Littlewood and P#lya saying that, for row vectors a, b # IR n , a # b if and only if aX = b for some doubly stochastic matrix X. This ordering was studied in detail in [1] see also [7] Further references on multivariate majorization are found in the survey paper [2] and in [3] Majorization in a very general setting was also studied by Torgersen in connection with his development of the theory of comparison of statistical experiments, see [9] 10] This theory is motivated by the question: when does one statistical experiment provide more information about ....
T. Ando. Majorization and inequalities in matrix theory. Linear algebra and its Applications, 199:1767, 1994.
Graph Colorings and Related Symmetric Functions: Ideas and.. - Stanley (1998) (13 citations) (Correct)
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T. Ando, Totally positive matrices, Linear Algebra and Its Applications 90 (1987), 165--219.
Graph Colorings and Related Symmetric Functions: Ideas and.. - Stanley (1998) (13 citations) (Correct)
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T. Ando, Totally positive matrices, Linear Algebra and Its Applications 90 (1987), 165--219.
Graph Colorings and Related Symmetric Functions: Ideas and.. - Stanley (1995) (13 citations) (Correct)
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T. Ando, Totally positive matrices, Linear Algebra and Its Applications 90 (1987), 165--219.
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