TOMSOL
Mixed user routines and MATLAB improvements.
Main features
| Task nbr |
Syntax |
Comments |
| 2 |
x = tomsol(2,A,b)Gives backsubL(A,b). |
Used in ssqls. |
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| 3 |
x = tomsol(3,A,b)Gives backsubR(A,b). |
Used in ucSolve and ssqls. |
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| 4 or 32 |
x = tomsol(4,A,b)x = A * b
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Use only if A is sparse. |
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| 5 or 33 |
x = tomsol(5,A,b)x = A(T) * b
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Use only if A is sparse. |
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| 6 |
x = tomsol(6,Q,R,E,pRank,z) - SolveQRGiven QR-decomposition, solve rhs z. |
Used in clsSolve, conSolve, cutplane, DualSolve, lpSolve and qpSolve. |
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| 7 |
x = tomsol(7,Q,R,E,pRank,z) - SolveQRTGiven transposed QR-decomposition, rhs z. |
DualSolve, lpSolve. |
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| 8 |
[x, nFunc] = tomsol(8,xL, xU, Func, xTol, Prob)Find minimum in [xL,xU] for function Func within tolerance xTol. Prob is a structure sent to Func. nFunc number of calls. |
See Tfmin. |
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| 9 |
x = tomsol(9,L,C,D)x = L + C.*D, coordinate transformation, C matrix.
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Used in glbSolve, glbFast, glcSolve, glcFast, glcCluster, ego and rbfSolve. |
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| 11 |
h = tomsol(11,x,y)h = conhull(x,y). Compute convex hull for (x,y), x sorted.
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Used in glbSolve. |
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| 12 |
[invR, detR, pRank] = tomsol(12,R,epsRank)invR: inverse of positive definite R
detR: det(R)
epsRank: rank tolerance
pRank: Pseudo rank determined using epsRank.
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Used in ego. |
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| 13 |
[Z, qraux, ipvt] = tomsol(13,A, Pivot, ipvt)Calls LINPACK DQRDC. A is m x n. Pivot ==1 if pivoting. ipvt(i) initial, ipvt(i) set as 0 (free), < 0 or > 0, Z holds Q and R, qraux part of Q. |
Used in ego. |
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| 14 |
[Qy, Info, Qty, x, r, Ax] = tomsol(14, Z, qraux, Y, epsRank, CompQy, ipvt)Calls LINPACK QRSL, Z, qraux, ipvt from QRDC. Y may be matrix of y columns. |
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| 15 |
[invA, detA] = tomsol(15,Z)A = QR, Z output from tomsol(13,A,.. call. Calls LINPACK PODI.
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| 16 |
Reserved for glbFast. |
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| 18 |
Reserved for glcFast. |
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| 21-28 |
rbfSolve and ego routines. |
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| 29 |
minl1=tomsol(29,C)AllNorms, Min distance from all X elements to the neighbors.
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Used in glcCluster |
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| 30 |
distVec=tomsol(30,X,Y)X and Y column vectors. distVec: Distance from all Y to the elements in X
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Used in glcCluster, rbfSolve and ego |
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| 31 |
[Ir,Jc,Pr]=tomsol(31,A,offset)[Ir,Jc,Pr]=spdis(A); or [Ir,Jc,Pr]=spdis(A,offset);
offset = 1 returns the vectors using the MATLAB standard. If not the indices will start with 0. |
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| 34 |
vec = tomsol(34, Matrix, Pattern)Sparse Matrix to static full vector, Pattern-ordered. |
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