Estimating The Support Of A Scaling Vector

  • Authors:
  • Wasin So;Jianzhong Wang

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Matrix Analysis and Applications
  • Year:
  • 1997

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Abstract

An estimate is given for the support of each component function of a compactly supported scaling vector satisfying a matrix refinement equation with finite number of terms. The estimate is based on the highest and lowest degrees of each polynomial in the corresponding matrix symbol. Only basic techniques from matrix theory are involved in the derivation.