GenRTR Riemannian Optimization Package
GenRTR > drivers > rtreig2.m

rtreig2

PURPOSE ^

RTREIG2 Compute the eigenvalue decomposition

SYNOPSIS ^

function [x,stats] = rtreig2(A,params)

DESCRIPTION ^

 RTREIG2  Compute the eigenvalue decomposition

 This computes the full eigenvalue decomposition of A by optimizing the Brockett 
 cost function on the orthogonal group using the Riemannian Trust-Region 
 with truncated CG inner solver. This method does not use the exponential 
 map for the retraction.

 x = rtreig(A) returns the eigenvectors x, sorted from smallest (corresponding 
 to eigenvalue) to largest.  
 [x,stats] = rtreig(A) returns x in addition to some statistics from the solver. 
 See RTR for info.

 A should be a Hermitian matrix.

 rtreig(A,params) allows the user to specify parameters that are passed 
 to the RTR solver.
   params.x0        - an orthogonal matrix
   params.Delta_bar - maximum trust-region radius
   params.Delta0    - initial trust-region radius

 See also rtr, rtreig, rtresgev, rtrflat

CROSS-REFERENCE INFORMATION ^

This function calls:
  • rtr RTR Riemannian Trust-Region (with tCG inner solve)
This function is called by:

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