Computes the sum of diagonal elements of A. function traceA = ctrace(A) Returns the sum of diagonal elements of A. The input A does not have to be a square matrix. The function supports both numeric arrays and structs with fields real and imag. This file was created because trace is not currently supported by dlarrays which we use for automatic differentiation: ctrace is a backup function. See also: manoptADhelp

0001 function traceA = ctrace(A) 0002 % Computes the sum of diagonal elements of A. 0003 % 0004 % function traceA = ctrace(A) 0005 % 0006 % Returns the sum of diagonal elements of A. The input A does not have 0007 % to be a square matrix. The function supports both numeric arrays and 0008 % structs with fields real and imag. This file was created because trace 0009 % is not currently supported by dlarrays which we use for automatic 0010 % differentiation: ctrace is a backup function. 0011 % 0012 % See also: manoptADhelp 0013 0014 % This file is part of Manopt: www.manopt.org. 0015 % Original author: Xiaowen Jiang, July 31, 2021. 0016 % Contributors: Nicolas Boumal 0017 % Change log: 0018 0019 if iscstruct(A) 0020 assert(length(size(A.real)) == 2, 'Input should be a 2-D array') 0021 m = size(A.real, 1); 0022 n = size(A.real, 2); 0023 realA = A.real; 0024 imagA = A.imag; 0025 0026 if n >= m 0027 traceA.real = sum(realA(1:m+1:m^2)); 0028 traceA.imag = sum(imagA(1:m+1:m^2)); 0029 else 0030 traceA.real = sum(realA(1:m+1:m*n-m+n)); 0031 traceA.imag = sum(imagA(1:m+1:m*n-m+n)); 0032 end 0033 0034 elseif isnumeric(A) 0035 assert(length(size(A)) == 2, 'Input should be a 2-D array') 0036 m = size(A,1); 0037 n = size(A,2); 0038 if n >= m 0039 traceA = sum(A(1:m+1:m^2)); 0040 else 0041 traceA = sum(A(1:m+1:m*n-m+n)); 0042 end 0043 0044 else 0045 ME = MException('ctrace:inputError', ... 0046 'Input does not have the expected format.'); 0047 throw(ME); 0048 0049 end 0050 0051 end

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