D1a. Elementary vector operations: BLAS2 (complex)

Functions
Sub	Zgbmv (Trans As String, M As Long, N As Long, Kl As Long, Ku As Long, Alpha As Complex, Ab_IJ As Complex, LdAb As Long, X_I As Complex, Beta As Complex, Y_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	y <- αAx + βy, y <- αATx + βy or y <- αAHx + βy (complex band matrices) (BLAS 2)
Sub	Zgemv (Trans As String, M As Long, N As Long, Alpha As Complex, A_IJ As Complex, LdA As Long, X_I As Complex, Beta As Complex, Y_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	y <- αAx + βy, y <- αATx + βy or y <- αAHx + βy (complex matrices) (BLAS 2)
Sub	Zgerc (M As Long, N As Long, Alpha As Complex, X_I As Complex, Y_I As Complex, A_IJ As Complex, LdA As Long, Optional IncX As Long=1, Optional IncY As Long=1)
	Rank 1 operation: A <- αxyH + A (complex matrices) (BLAS 2)
Sub	Zgeru (M As Long, N As Long, Alpha As Complex, X_I As Complex, Y_I As Complex, A_IJ As Complex, LdA As Long, Optional IncX As Long=1, Optional IncY As Long=1)
	Rank 1 operation: A <- αxyT + A (complex matrices) (BLAS 2)
Sub	Zhbmv (Uplo As String, N As Long, K As Long, Alpha As Complex, Ab_IJ As Complex, LdAb As Long, X_I As Complex, Beta As Complex, Y_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	y <- αAx + βy (Hermitian band matrices) (BLAS 2)
Sub	Zhemv (Uplo As String, N As Long, Alpha As Complex, A_IJ As Complex, LdA As Long, X_I As Complex, Beta As Complex, Y_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	y <- αAx + βy (Hermitian matrices) (BLAS 2)
Sub	Zher (Uplo As String, N As Long, Alpha As Double, X_I As Complex, A_IJ As Complex, LdA As Long, Optional IncX As Long=1)
	Rank 1 operation: A <- αxxH + A (Hermitian matrices) (BLAS 2)
Sub	Zher2 (Uplo As String, N As Long, Alpha As Complex, X_I As Complex, Y_I As Complex, A_IJ As Complex, LdA As Long, Optional IncX As Long=1, Optional IncY As Long=1)
	Rank 2 operation: A <- αxyH + conjg(α)yxH + A (Hermitian matrices) (BLAS 2)
Sub	Zhpmv (Uplo As String, N As Long, Alpha As Complex, Ap_I As Complex, X_I As Complex, Beta As Complex, Y_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	y <- αAx + βy (Hermitian matrices in packed form) (BLAS 2)
Sub	Zhpr (Uplo As String, N As Long, Alpha As Double, X_I As Complex, Ap_I As Complex, Optional IncX As Long=1)
	Rank 1 operation: A <- αxxH + A (Hermitian matrices in packed form) (BLAS 2)
Sub	Zhpr2 (Uplo As String, N As Long, Alpha As Complex, X_I As Complex, Y_I As Complex, Ap_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	Rank 2 operation: A <- αxyH + conjg(α)yxH + A (Hermitian matrices in packed form) (BLAS 2)
Sub	Zsbmv (Uplo As String, N As Long, K As Long, Alpha As Complex, Ab_IJ As Complex, LdAb As Long, X_I As Complex, Beta As Complex, Y_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	y <- αAx + βy (complex symmetric band matrices) (BLAS 2)
Sub	Zspmv (Uplo As String, N As Long, Alpha As Complex, Ap_I As Complex, X_I As Complex, Beta As Complex, Y_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	y <- αAx + βy (complex symmetric matrices in packed form) (BLAS 2)
Sub	Zspr (Uplo As String, N As Long, Alpha As Complex, X_I As Complex, Ap_I As Complex, Optional IncX As Long=1)
	Rank 1 operation: A <- αxxT + A (complex symmetric matrices in packed form) (BLAS 2)
Sub	Zspr2 (Uplo As String, N As Long, Alpha As Complex, X_I As Complex, Y_I As Complex, Ap_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	Rank 2 operation: A <- αxyT + αyxT + A (complex symmetric matrices in packed form) (BLAS 2)
Sub	Zsymv (Uplo As String, N As Long, Alpha As Complex, A_IJ As Complex, LdA As Long, X_I As Complex, Beta As Complex, Y_I As Complex, Optional IncX As Long=1, Optional IncY As Long=1)
	y <- αAx + βy (complex symmetric matrices) (BLAS 2)
Sub	Zsyr (Uplo As String, N As Long, Alpha As Complex, X_I As Complex, A_IJ As Complex, LdA As Long, Optional IncX As Long=1)
	Rank 1 operation: A <- αxxT + A (complex symmetric matrices) (BLAS 2)
Sub	Zsyr2 (Uplo As String, N As Long, Alpha As Complex, X_I As Complex, Y_I As Complex, A_IJ As Complex, LdA As Long, Optional IncX As Long=1, Optional IncY As Long=1)
	Rank 2 operation: A <- αxyT + αyxT + A (complex symmetric matrices) (BLAS 2)
Sub	Ztbmv (Uplo As String, Trans As String, Diag As String, N As Long, K As Long, Ab_IJ As Complex, LdAb As Long, X_I As Complex, Optional IncX As Long=1)
	x <- Ax, x <- ATx or x <- AHx (complex triangular band matrices) (BLAS 2)
Sub	Ztbsv (Uplo As String, Trans As String, Diag As String, N As Long, K As Long, Ab_IJ As Complex, LdAb As Long, X_I As Complex, Optional IncX As Long=1)
	Solution of Ax = b, ATx = b or AHx = b (complex triangular band matrices) (BLAS 2)
Sub	Ztpmv (Uplo As String, Trans As String, Diag As String, N As Long, Ap_I As Complex, X_I As Complex, Optional IncX As Long=1)
	x <- Ax, x <- ATx or x <- AHx (complex triangular matrices in packed form) (BLAS 2)
Sub	Ztpsv (Uplo As String, Trans As String, Diag As String, N As Long, Ap_I As Complex, X_I As Complex, Optional IncX As Long=1)
	Solution of Ax = b, ATx = b or AHx = b (complex triangular matrices in packed form) (BLAS 2)
Sub	Ztrmv (Uplo As String, Trans As String, Diag As String, N As Long, A_IJ As Complex, LdA As Long, X_I As Complex, Optional IncX As Long=1)
	x <- Ax, x <- ATx or x <- AHx (complex triangular matrices) (BLAS 2)
Sub	Ztrsv (Uplo As String, Trans As String, Diag As String, N As Long, A_IJ As Complex, LdA As Long, X_I As Complex, Optional IncX As Long=1)
	Solution of Ax = b, ATx = b or AHx = b (complex triangular matrices) (BLAS 2)

Detailed Description

This is the group of D1a. Elementary vector operations: BLAS2 (complex).