Matrix Functions
Computation of f(A) including matrix exponential and Lyapunov solvers.
Matrix Functions. Computation of f(A) including matrix exponential and Lyapunov solvers.
Foundations and canonical references
The standard treatments of matrix functions approach the subject from complementary angles. Higham, Functions of Matrices: Theory and Computation (2008) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Horn, Matrix Analysis (2013) offers an alternative presentation that complements the primary references and is useful for triangulating definitions and proof techniques.
Open methodological questions for matrix functions include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2008Functions of Matrices: Theory and Computationhigham-2008
- textbook · supporting · 2013Matrix Analysishorn-2013, johnson-2013
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