On Transforming a Tchebycheff System into a Strictly Totally Positive System
نویسندگان
چکیده
منابع مشابه
a study on construction of iranian life tables: the case study of modified brass logit system
چکیده ندارد.
15 صفحه اولThe Approximation of a Totally Positive Band Matrix by a Strictly Banded Totally Positive One*
Every nonsingular totally positive m-banded matrix is shown to be the product of m totally positive one-banded matrices and, therefore, the limit of strictly m-banded totally positive matrices. This result is then extended to (bi)infinite m-banded totally positive matrices with linearly independent rows and columns. In the process, such matrices are shown to possess at least one diagonal whose ...
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For a strictly totally positive M × N matrix A we show that the ratio IlAxllp/llxllp has exactly R = min{ M, N ) nonzero critical values for each fixed p ~ (1, ~ ) . Letting ~ denote the i th critical value, and x ~ an associated critical vector, we show that ~l > " " " > An > 0 and x i (unique up to multiplication by a constant) has exactly i 1 sign changes. These critical values are generaliz...
متن کاملAn Interlacing Property of Eigenvalues of Strictly Totally Positive Matrices
We prove results concerning the interlacing of eigenvalues of principal submatrices of strictly totally positive matrices. §
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1995
ISSN: 0021-9045
DOI: 10.1006/jath.1995.1050