Index of Definitions for Chapter 5

  • Absorbing Markov chain 303

  • Absorbing state 303

  • Characteristic polynomial of a linear operator 249

  • Characteristic polynomial of a matrix 248

  • Column sum of a matrix 294

  • Convergence of matrices 283

  • Cyclic subspace 312

  • Diagonalizable linear operator 246

  • Diagonalizable matrix 246

  • Direct sum of matrices 318

  • Direct sum of subspaces 274

  • Eigenspace of a linear operator 264

  • Eigenspace of a matrix 264

  • Eigenvalue of a linear operator 246

  • Eigenvalue of a matrix 246

  • Eigenvector of a linear operator 246

  • Eigenvector of a matrix 246

  • Fixed probability vector 300

  • Generator of a cyclic subspace 312

  • Gerschgorin disk 294

  • Initial probability vector for a Markov chain 291

  • Invariant subspace 311

  • Limit of a sequence of matrices 283

  • Markov chain 290

  • Markov process 290

  • Multiplicity of an eigenvalue 263

  • Probability vector 288

  • Regular transition matrix 293

  • Row sum of a matrix 294

  • Splits 263

  • Stochastic process 287

  • Sum of subspaces 274

  • Transition matrix 287

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