Nonnegative Matrices in the Mathematical Sciences

Berman, A., & Plemmons, R. J. (1994). Nonnegative Matrices in the Mathematical Sciences.

Type

Book

Intellectual base

Review or monograph

Year

1994

DOI

10.1137/1.9781611971262

ISBN

9780898713213

DOI registrant

Society for Industrial and Applied Mathematics

Link

https://doi.org/10.1137/1.9781611971262

Cited by

3 citations across 3 artifacts.

Domain-specific

• M-matrix
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Metzler matrix
  • Diagonal entries are unrestricted, adding a sufficiently large scalar multiple of identity makes the matrix nonnegative and the matrix exponential is entrywise nonnegative for nonnegative time.
• Nonnegative Matrix
  • It places \(A\) in the closed nonnegative orthant of matrix space, makes the set of fixed-size nonnegative matrices a convex cone, and ensures that addition, nonnegative scaling, and conformable multiplication preserve nonnegativity.

Verification

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