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Tringular Solver Examples

This directory contains examples and tests for the solvers with triangular coefficient matrices. The examples are used as tests codes as well. All examples feature the --help command line options to view the actual parameters that can be used to adjust the example,

The following triangular example and test codes are available:

  • benchmark_trlyap: Solve the standard Lyapunov equation (LYAP) in double precision.
  • benchmark_trlyap_single: Solve the standard Lyapunov equation (LYAP) in single precision.
  • benchmark_trstein: Solve the standard Stein equation (STEIN) in double precision.
  • benchmark_trstein_single: Solve the standard Stein equation (STEIN) in single precision.
  • benchmark_trsylv2: Solve the discrete-time Sylvester equation (SYLV2) in double precision.
  • benchmark_trsylv2_single: Solve the discrete-time Sylvester equation (SYLV2) in single precision.
  • benchmark_trsylv: Solve the standard Sylvester equation (SYLV) in double precision.
  • benchmark_trsylv_single: Solve the standard Sylvester equation (SYLV) in single precision.
  • benchmark_tgcsylv: Solve the generalized coupled Sylvester equation (CSYLV) in double precision.
  • benchmark_tgcsylv_single: Solve the generalized coupled Sylvester equation (CSYLV) in single precision.
  • benchmark_tgcsylv_dual: Solve the dual generalized coupled Sylvester equation (CSYLV_DUAL) in double precision.
  • benchmark_tgcsylv_dual_single: Solve the dual generalized coupled Sylvester equation (CSYLV_DUAL) in single precision.
  • benchmark_tglyap: Solve the generalized Lyapunov equation (GLYAP) in double precision.
  • benchmark_tglyap_single: Solve the generalized Lyapunov equation (GLYAP) in single precision.
  • benchmark_tgstein: Solve the generalized Stein equation (GSTEIN) in double precision.
  • benchmark_tgstein_single: Solve the generalized Stein equation (GSTEIN) in single precision.
  • benchmark_tgsylv: Solve the generalized Sylvester equation (GSYLV) in double precision.
  • benchmark_tgsylv_single: Solve the generalized Sylvester equation (GSYLV) in single precision.